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Finding the Fourth Proportional to 278,822.70, 417,772.35 and 160,287.30

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Solution

The fourth proportional to 278,822.70, 417,772.35 and 160,287.30 is: 240,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,822.70 : 417,772.35 = 160,287.30 : x
  2. Step 2: Convert to fraction form
    278,822.70/417,772.35 = 160,287.30/x
  3. Step 3: Cross multiply
    278,822.70x = 417,772.35 × 160,287.30
  4. Step 4: Simplify right side
    278,822.70x = 66,963,601,996.16
  5. Step 5: Solve for x
    x = 66,963,601,996.16/278,822.70
  6. Step 6: Final answer
    x = 240,165.53

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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.