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Finding the Fourth Proportional to 538,412.10, 742,957.92 and 317,614.94

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Solution

The fourth proportional to 538,412.10, 742,957.92 and 317,614.94 is: 438,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,412.10 : 742,957.92 = 317,614.94 : x
  2. Step 2: Convert to fraction form
    538,412.10/742,957.92 = 317,614.94/x
  3. Step 3: Cross multiply
    538,412.10x = 742,957.92 × 317,614.94
  4. Step 4: Simplify right side
    538,412.10x = 235,974,535,183.33
  5. Step 5: Solve for x
    x = 235,974,535,183.33/538,412.10
  6. Step 6: Final answer
    x = 438,278.66

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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.