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Finding the Fourth Proportional to 485,195.60, 727,793.40 and 457,639.40

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Solution

The fourth proportional to 485,195.60, 727,793.40 and 457,639.40 is: 686,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,195.60 : 727,793.40 = 457,639.40 : x
  2. Step 2: Convert to fraction form
    485,195.60/727,793.40 = 457,639.40/x
  3. Step 3: Cross multiply
    485,195.60x = 727,793.40 × 457,639.40
  4. Step 4: Simplify right side
    485,195.60x = 333,066,934,899.96
  5. Step 5: Solve for x
    x = 333,066,934,899.96/485,195.60
  6. Step 6: Final answer
    x = 686,459.10

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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.