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Finding the Fourth Proportional to 430,703.70, 646,006.22 and 115,185.22

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Solution

The fourth proportional to 430,703.70, 646,006.22 and 115,185.22 is: 172,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,703.70 : 646,006.22 = 115,185.22 : x
  2. Step 2: Convert to fraction form
    430,703.70/646,006.22 = 115,185.22/x
  3. Step 3: Cross multiply
    430,703.70x = 646,006.22 × 115,185.22
  4. Step 4: Simplify right side
    430,703.70x = 74,410,368,572.07
  5. Step 5: Solve for x
    x = 74,410,368,572.07/430,703.70
  6. Step 6: Final answer
    x = 172,764.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.