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Finding the Fourth Proportional to 458,603.60, 688,002.60 and 138,729.20

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Solution

The fourth proportional to 458,603.60, 688,002.60 and 138,729.20 is: 208,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,603.60 : 688,002.60 = 138,729.20 : x
  2. Step 2: Convert to fraction form
    458,603.60/688,002.60 = 138,729.20/x
  3. Step 3: Cross multiply
    458,603.60x = 688,002.60 × 138,729.20
  4. Step 4: Simplify right side
    458,603.60x = 95,446,050,295.92
  5. Step 5: Solve for x
    x = 95,446,050,295.92/458,603.60
  6. Step 6: Final answer
    x = 208,123.20

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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.