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Finding the Fourth Proportional to 278,497.64, 417,372.28 and 151,948.26

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Solution

The fourth proportional to 278,497.64, 417,372.28 and 151,948.26 is: 227,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,497.64 : 417,372.28 = 151,948.26 : x
  2. Step 2: Convert to fraction form
    278,497.64/417,372.28 = 151,948.26/x
  3. Step 3: Cross multiply
    278,497.64x = 417,372.28 × 151,948.26
  4. Step 4: Simplify right side
    278,497.64x = 63,418,991,338.36
  5. Step 5: Solve for x
    x = 63,418,991,338.36/278,497.64
  6. Step 6: Final answer
    x = 227,718.23

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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.