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Finding the Fourth Proportional to 458,059.29, 686,642.14 and 218,108.71

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Solution

The fourth proportional to 458,059.29, 686,642.14 and 218,108.71 is: 326,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,059.29 : 686,642.14 = 218,108.71 : x
  2. Step 2: Convert to fraction form
    458,059.29/686,642.14 = 218,108.71/x
  3. Step 3: Cross multiply
    458,059.29x = 686,642.14 × 218,108.71
  4. Step 4: Simplify right side
    458,059.29x = 149,762,631,387.04
  5. Step 5: Solve for x
    x = 149,762,631,387.04/458,059.29
  6. Step 6: Final answer
    x = 326,950.32

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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.