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Finding the Fourth Proportional to 278,490.52, 417,361.59 and 151,941.13

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Solution

The fourth proportional to 278,490.52, 417,361.59 and 151,941.13 is: 227,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,490.52 : 417,361.59 = 151,941.13 : x
  2. Step 2: Convert to fraction form
    278,490.52/417,361.59 = 151,941.13/x
  3. Step 3: Cross multiply
    278,490.52x = 417,361.59 × 151,941.13
  4. Step 4: Simplify right side
    278,490.52x = 63,414,390,559.79
  5. Step 5: Solve for x
    x = 63,414,390,559.79/278,490.52
  6. Step 6: Final answer
    x = 227,707.54

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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.