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Finding the Fourth Proportional to 458,608.38, 686,132.73 and 402,022.86

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Solution

The fourth proportional to 458,608.38, 686,132.73 and 402,022.86 is: 601,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,608.38 : 686,132.73 = 402,022.86 : x
  2. Step 2: Convert to fraction form
    458,608.38/686,132.73 = 402,022.86/x
  3. Step 3: Cross multiply
    458,608.38x = 686,132.73 × 402,022.86
  4. Step 4: Simplify right side
    458,608.38x = 275,841,042,454.21
  5. Step 5: Solve for x
    x = 275,841,042,454.21/458,608.38
  6. Step 6: Final answer
    x = 601,474.06

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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.