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Finding the Fourth Proportional to 438,585.90, 657,806.75 and 154,209.61

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Solution

The fourth proportional to 438,585.90, 657,806.75 and 154,209.61 is: 231,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,585.90 : 657,806.75 = 154,209.61 : x
  2. Step 2: Convert to fraction form
    438,585.90/657,806.75 = 154,209.61/x
  3. Step 3: Cross multiply
    438,585.90x = 657,806.75 × 154,209.61
  4. Step 4: Simplify right side
    438,585.90x = 101,440,123,002.36
  5. Step 5: Solve for x
    x = 101,440,123,002.36/438,585.90
  6. Step 6: Final answer
    x = 231,289.07

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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.