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Finding the Fourth Proportional to 278,490.98, 417,362.29 and 151,941.60

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Solution

The fourth proportional to 278,490.98, 417,362.29 and 151,941.60 is: 227,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,490.98 : 417,362.29 = 151,941.60 : x
  2. Step 2: Convert to fraction form
    278,490.98/417,362.29 = 151,941.60/x
  3. Step 3: Cross multiply
    278,490.98x = 417,362.29 × 151,941.60
  4. Step 4: Simplify right side
    278,490.98x = 63,414,694,122.26
  5. Step 5: Solve for x
    x = 63,414,694,122.26/278,490.98
  6. Step 6: Final answer
    x = 227,708.25

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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.