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Finding the Fourth Proportional to 457,816.60, 686,724.90 and 308,517.40

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Solution

The fourth proportional to 457,816.60, 686,724.90 and 308,517.40 is: 462,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,816.60 : 686,724.90 = 308,517.40 : x
  2. Step 2: Convert to fraction form
    457,816.60/686,724.90 = 308,517.40/x
  3. Step 3: Cross multiply
    457,816.60x = 686,724.90 × 308,517.40
  4. Step 4: Simplify right side
    457,816.60x = 211,866,580,663.26
  5. Step 5: Solve for x
    x = 211,866,580,663.26/457,816.60
  6. Step 6: Final answer
    x = 462,776.10

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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.