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Finding the Fourth Proportional to 491,710.20, 737,046.90 and 280,894.20

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Solution

The fourth proportional to 491,710.20, 737,046.90 and 280,894.20 is: 421,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,710.20 : 737,046.90 = 280,894.20 : x
  2. Step 2: Convert to fraction form
    491,710.20/737,046.90 = 280,894.20/x
  3. Step 3: Cross multiply
    491,710.20x = 737,046.90 × 280,894.20
  4. Step 4: Simplify right side
    491,710.20x = 207,032,199,337.98
  5. Step 5: Solve for x
    x = 207,032,199,337.98/491,710.20
  6. Step 6: Final answer
    x = 421,045.16

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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.