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Finding the Fourth Proportional to 491,821.20, 737,731.80 and 442,054.80

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Solution

The fourth proportional to 491,821.20, 737,731.80 and 442,054.80 is: 663,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,821.20 : 737,731.80 = 442,054.80 : x
  2. Step 2: Convert to fraction form
    491,821.20/737,731.80 = 442,054.80/x
  3. Step 3: Cross multiply
    491,821.20x = 737,731.80 × 442,054.80
  4. Step 4: Simplify right side
    491,821.20x = 326,117,883,302.64
  5. Step 5: Solve for x
    x = 326,117,883,302.64/491,821.20
  6. Step 6: Final answer
    x = 663,082.20

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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.