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Finding the Fourth Proportional to 278,646.37, 417,915.13 and 89,055.88

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Solution

The fourth proportional to 278,646.37, 417,915.13 and 89,055.88 is: 133,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,646.37 : 417,915.13 = 89,055.88 : x
  2. Step 2: Convert to fraction form
    278,646.37/417,915.13 = 89,055.88/x
  3. Step 3: Cross multiply
    278,646.37x = 417,915.13 × 89,055.88
  4. Step 4: Simplify right side
    278,646.37x = 37,217,799,667.46
  5. Step 5: Solve for x
    x = 37,217,799,667.46/278,646.37
  6. Step 6: Final answer
    x = 133,566.43

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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.