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Finding the Fourth Proportional to 438,675.96, 658,013.87 and 239,164.13

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Solution

The fourth proportional to 438,675.96, 658,013.87 and 239,164.13 is: 358,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,675.96 : 658,013.87 = 239,164.13 : x
  2. Step 2: Convert to fraction form
    438,675.96/658,013.87 = 239,164.13/x
  3. Step 3: Cross multiply
    438,675.96x = 658,013.87 × 239,164.13
  4. Step 4: Simplify right side
    438,675.96x = 157,373,310,260.59
  5. Step 5: Solve for x
    x = 157,373,310,260.59/438,675.96
  6. Step 6: Final answer
    x = 358,746.15

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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.