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Finding the Fourth Proportional to 491,821.70, 737,732.55 and 442,055.30

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Solution

The fourth proportional to 491,821.70, 737,732.55 and 442,055.30 is: 663,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,821.70 : 737,732.55 = 442,055.30 : x
  2. Step 2: Convert to fraction form
    491,821.70/737,732.55 = 442,055.30/x
  3. Step 3: Cross multiply
    491,821.70x = 737,732.55 × 442,055.30
  4. Step 4: Simplify right side
    491,821.70x = 326,118,583,710.02
  5. Step 5: Solve for x
    x = 326,118,583,710.02/491,821.70
  6. Step 6: Final answer
    x = 663,082.95

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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.