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Finding the Fourth Proportional to 278,318.88, 417,510 and 100,909.44

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Solution

The fourth proportional to 278,318.88, 417,510 and 100,909.44 is: 151,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,318.88 : 417,510 = 100,909.44 : x
  2. Step 2: Convert to fraction form
    278,318.88/417,510 = 100,909.44/x
  3. Step 3: Cross multiply
    278,318.88x = 417,510 × 100,909.44
  4. Step 4: Simplify right side
    278,318.88x = 42,130,700,294.40
  5. Step 5: Solve for x
    x = 42,130,700,294.40/278,318.88
  6. Step 6: Final answer
    x = 151,375.65

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1.5x scale

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.