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Finding the Fourth Proportional to 438,424.15, 657,472.20 and 154,004.80

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Solution

The fourth proportional to 438,424.15, 657,472.20 and 154,004.80 is: 230,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,424.15 : 657,472.20 = 154,004.80 : x
  2. Step 2: Convert to fraction form
    438,424.15/657,472.20 = 154,004.80/x
  3. Step 3: Cross multiply
    438,424.15x = 657,472.20 × 154,004.80
  4. Step 4: Simplify right side
    438,424.15x = 101,253,874,666.56
  5. Step 5: Solve for x
    x = 101,253,874,666.56/438,424.15
  6. Step 6: Final answer
    x = 230,949.58

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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.