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Finding the Fourth Proportional to 498,829.60, 748,244.40 and 490,956.40

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Solution

The fourth proportional to 498,829.60, 748,244.40 and 490,956.40 is: 736,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,829.60 : 748,244.40 = 490,956.40 : x
  2. Step 2: Convert to fraction form
    498,829.60/748,244.40 = 490,956.40/x
  3. Step 3: Cross multiply
    498,829.60x = 748,244.40 × 490,956.40
  4. Step 4: Simplify right side
    498,829.60x = 367,355,376,944.16
  5. Step 5: Solve for x
    x = 367,355,376,944.16/498,829.60
  6. Step 6: Final answer
    x = 736,434.60

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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.