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Finding the Fourth Proportional to 485,057.60, 727,586.40 and 457,501.40

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Solution

The fourth proportional to 485,057.60, 727,586.40 and 457,501.40 is: 686,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,057.60 : 727,586.40 = 457,501.40 : x
  2. Step 2: Convert to fraction form
    485,057.60/727,586.40 = 457,501.40/x
  3. Step 3: Cross multiply
    485,057.60x = 727,586.40 × 457,501.40
  4. Step 4: Simplify right side
    485,057.60x = 332,871,796,620.96
  5. Step 5: Solve for x
    x = 332,871,796,620.96/485,057.60
  6. Step 6: Final answer
    x = 686,252.10

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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.