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Finding the Fourth Proportional to 497,327.80, 745,116.90 and 408,098.20

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Solution

The fourth proportional to 497,327.80, 745,116.90 and 408,098.20 is: 611,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,327.80 : 745,116.90 = 408,098.20 : x
  2. Step 2: Convert to fraction form
    497,327.80/745,116.90 = 408,098.20/x
  3. Step 3: Cross multiply
    497,327.80x = 745,116.90 × 408,098.20
  4. Step 4: Simplify right side
    497,327.80x = 304,080,865,679.58
  5. Step 5: Solve for x
    x = 304,080,865,679.58/497,327.80
  6. Step 6: Final answer
    x = 611,429.45

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1.5x scale

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.