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Finding the Fourth Proportional to 497,676.10, 746,514.15 and 287,724.10

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Solution

The fourth proportional to 497,676.10, 746,514.15 and 287,724.10 is: 431,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,676.10 : 746,514.15 = 287,724.10 : x
  2. Step 2: Convert to fraction form
    497,676.10/746,514.15 = 287,724.10/x
  3. Step 3: Cross multiply
    497,676.10x = 746,514.15 × 287,724.10
  4. Step 4: Simplify right side
    497,676.10x = 214,790,111,946.02
  5. Step 5: Solve for x
    x = 214,790,111,946.02/497,676.10
  6. Step 6: Final answer
    x = 431,586.15

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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.