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Finding the Fourth Proportional to 278,572, 418,024.04 and 101,092.86

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Solution

The fourth proportional to 278,572, 418,024.04 and 101,092.86 is: 151,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,572 : 418,024.04 = 101,092.86 : x
  2. Step 2: Convert to fraction form
    278,572/418,024.04 = 101,092.86/x
  3. Step 3: Cross multiply
    278,572x = 418,024.04 × 101,092.86
  4. Step 4: Simplify right side
    278,572x = 42,259,245,752.35
  5. Step 5: Solve for x
    x = 42,259,245,752.35/278,572
  6. Step 6: Final answer
    x = 151,699.55

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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.