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Finding the Fourth Proportional to 278,490.39, 417,757.65 and 78,812.01

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Solution

The fourth proportional to 278,490.39, 417,757.65 and 78,812.01 is: 118,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,490.39 : 417,757.65 = 78,812.01 : x
  2. Step 2: Convert to fraction form
    278,490.39/417,757.65 = 78,812.01/x
  3. Step 3: Cross multiply
    278,490.39x = 417,757.65 × 78,812.01
  4. Step 4: Simplify right side
    278,490.39x = 32,924,320,089.38
  5. Step 5: Solve for x
    x = 32,924,320,089.38/278,490.39
  6. Step 6: Final answer
    x = 118,224.26

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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.