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Finding the Fourth Proportional to 387,278.70, 580,423.22 and 312,434.14

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Solution

The fourth proportional to 387,278.70, 580,423.22 and 312,434.14 is: 468,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,278.70 : 580,423.22 = 312,434.14 : x
  2. Step 2: Convert to fraction form
    387,278.70/580,423.22 = 312,434.14/x
  3. Step 3: Cross multiply
    387,278.70x = 580,423.22 × 312,434.14
  4. Step 4: Simplify right side
    387,278.70x = 181,344,029,576.73
  5. Step 5: Solve for x
    x = 181,344,029,576.73/387,278.70
  6. Step 6: Final answer
    x = 468,252.01

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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.