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Finding the Fourth Proportional to 1,099,515,500.05, 1,515,907,208.67 and 712,143,730.12

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Solution

The fourth proportional to 1,099,515,500.05, 1,515,907,208.67 and 712,143,730.12 is: 981,835,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,515,500.05 : 1,515,907,208.67 = 712,143,730.12 : x
  2. Step 2: Convert to fraction form
    1,099,515,500.05/1,515,907,208.67 = 712,143,730.12/x
  3. Step 3: Cross multiply
    1,099,515,500.05x = 1,515,907,208.67 × 712,143,730.12
  4. Step 4: Simplify right side
    1,099,515,500.05x = 1,079,543,814,098,051,072
  5. Step 5: Solve for x
    x = 1,079,543,814,098,051,072/1,099,515,500.05
  6. Step 6: Final answer
    x = 981,835,921.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.