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Finding the Fourth Proportional to 497,676.60, 746,514.90 and 409,030.20

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Solution

The fourth proportional to 497,676.60, 746,514.90 and 409,030.20 is: 613,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,676.60 : 746,514.90 = 409,030.20 : x
  2. Step 2: Convert to fraction form
    497,676.60/746,514.90 = 409,030.20/x
  3. Step 3: Cross multiply
    497,676.60x = 746,514.90 × 409,030.20
  4. Step 4: Simplify right side
    497,676.60x = 305,347,138,849.98
  5. Step 5: Solve for x
    x = 305,347,138,849.98/497,676.60
  6. Step 6: Final answer
    x = 613,545.30

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Similar ratio
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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.