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Finding the Fourth Proportional to 491,701.20, 737,033.40 and 280,885.20

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Solution

The fourth proportional to 491,701.20, 737,033.40 and 280,885.20 is: 421,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,701.20 : 737,033.40 = 280,885.20 : x
  2. Step 2: Convert to fraction form
    491,701.20/737,033.40 = 280,885.20/x
  3. Step 3: Cross multiply
    491,701.20x = 737,033.40 × 280,885.20
  4. Step 4: Simplify right side
    491,701.20x = 207,021,773,965.68
  5. Step 5: Solve for x
    x = 207,021,773,965.68/491,701.20
  6. Step 6: Final answer
    x = 421,031.66

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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.