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Finding the Fourth Proportional to 498,412.60, 747,618.90 and 428,428.60

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Solution

The fourth proportional to 498,412.60, 747,618.90 and 428,428.60 is: 642,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,412.60 : 747,618.90 = 428,428.60 : x
  2. Step 2: Convert to fraction form
    498,412.60/747,618.90 = 428,428.60/x
  3. Step 3: Cross multiply
    498,412.60x = 747,618.90 × 428,428.60
  4. Step 4: Simplify right side
    498,412.60x = 320,301,318,660.54
  5. Step 5: Solve for x
    x = 320,301,318,660.54/498,412.60
  6. Step 6: Final answer
    x = 642,642.90

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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.