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Finding the Fourth Proportional to 686,874,649.96, 947,800,897.86 and 464,340,537.64

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Solution

The fourth proportional to 686,874,649.96, 947,800,897.86 and 464,340,537.64 is: 640,731,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,874,649.96 : 947,800,897.86 = 464,340,537.64 : x
  2. Step 2: Convert to fraction form
    686,874,649.96/947,800,897.86 = 464,340,537.64/x
  3. Step 3: Cross multiply
    686,874,649.96x = 947,800,897.86 × 464,340,537.64
  4. Step 4: Simplify right side
    686,874,649.96x = 440,102,378,487,987,136
  5. Step 5: Solve for x
    x = 440,102,378,487,987,136/686,874,649.96
  6. Step 6: Final answer
    x = 640,731,723.78

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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.