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Finding the Fourth Proportional to 310,411.70, 465,617.55 and 123,423.20

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Solution

The fourth proportional to 310,411.70, 465,617.55 and 123,423.20 is: 185,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,411.70 : 465,617.55 = 123,423.20 : x
  2. Step 2: Convert to fraction form
    310,411.70/465,617.55 = 123,423.20/x
  3. Step 3: Cross multiply
    310,411.70x = 465,617.55 × 123,423.20
  4. Step 4: Simplify right side
    310,411.70x = 57,468,007,997.16
  5. Step 5: Solve for x
    x = 57,468,007,997.16/310,411.70
  6. Step 6: Final answer
    x = 185,134.80

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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.