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Finding the Fourth Proportional to 278,045.96, 415,034.08 and 238,854.92

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Solution

The fourth proportional to 278,045.96, 415,034.08 and 238,854.92 is: 356,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.96 : 415,034.08 = 238,854.92 : x
  2. Step 2: Convert to fraction form
    278,045.96/415,034.08 = 238,854.92/x
  3. Step 3: Cross multiply
    278,045.96x = 415,034.08 × 238,854.92
  4. Step 4: Simplify right side
    278,045.96x = 99,132,931,975.67
  5. Step 5: Solve for x
    x = 99,132,931,975.67/278,045.96
  6. Step 6: Final answer
    x = 356,534.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.