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Finding the Fourth Proportional to 497,761.60, 746,642.40 and 420,001.60

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Solution

The fourth proportional to 497,761.60, 746,642.40 and 420,001.60 is: 630,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,761.60 : 746,642.40 = 420,001.60 : x
  2. Step 2: Convert to fraction form
    497,761.60/746,642.40 = 420,001.60/x
  3. Step 3: Cross multiply
    497,761.60x = 746,642.40 × 420,001.60
  4. Step 4: Simplify right side
    497,761.60x = 313,591,002,627.84
  5. Step 5: Solve for x
    x = 313,591,002,627.84/497,761.60
  6. Step 6: Final answer
    x = 630,002.40

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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.