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Finding the Fourth Proportional to 491,620.52, 737,430.78 and 281,110.80

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Solution

The fourth proportional to 491,620.52, 737,430.78 and 281,110.80 is: 421,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,620.52 : 737,430.78 = 281,110.80 : x
  2. Step 2: Convert to fraction form
    491,620.52/737,430.78 = 281,110.80/x
  3. Step 3: Cross multiply
    491,620.52x = 737,430.78 × 281,110.80
  4. Step 4: Simplify right side
    491,620.52x = 207,299,756,510.42
  5. Step 5: Solve for x
    x = 207,299,756,510.42/491,620.52
  6. Step 6: Final answer
    x = 421,666.20

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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.