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Finding the Fourth Proportional to 498,777.48, 748,399.50 and 288,592.20

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Solution

The fourth proportional to 498,777.48, 748,399.50 and 288,592.20 is: 433,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,777.48 : 748,399.50 = 288,592.20 : x
  2. Step 2: Convert to fraction form
    498,777.48/748,399.50 = 288,592.20/x
  3. Step 3: Cross multiply
    498,777.48x = 748,399.50 × 288,592.20
  4. Step 4: Simplify right side
    498,777.48x = 215,982,258,183.90
  5. Step 5: Solve for x
    x = 215,982,258,183.90/498,777.48
  6. Step 6: Final answer
    x = 433,023.28

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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.