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Finding the Fourth Proportional to 278,999.10, 418,498.65 and 101,511.90

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Solution

The fourth proportional to 278,999.10, 418,498.65 and 101,511.90 is: 152,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,999.10 : 418,498.65 = 101,511.90 : x
  2. Step 2: Convert to fraction form
    278,999.10/418,498.65 = 101,511.90/x
  3. Step 3: Cross multiply
    278,999.10x = 418,498.65 × 101,511.90
  4. Step 4: Simplify right side
    278,999.10x = 42,482,593,108.94
  5. Step 5: Solve for x
    x = 42,482,593,108.94/278,999.10
  6. Step 6: Final answer
    x = 152,267.85

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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.