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Finding the Fourth Proportional to 438,614.49, 656,925.29 and 343,250.36

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Solution

The fourth proportional to 438,614.49, 656,925.29 and 343,250.36 is: 514,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,614.49 : 656,925.29 = 343,250.36 : x
  2. Step 2: Convert to fraction form
    438,614.49/656,925.29 = 343,250.36/x
  3. Step 3: Cross multiply
    438,614.49x = 656,925.29 × 343,250.36
  4. Step 4: Simplify right side
    438,614.49x = 225,489,841,035.39
  5. Step 5: Solve for x
    x = 225,489,841,035.39/438,614.49
  6. Step 6: Final answer
    x = 514,095.74

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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.