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Finding the Fourth Proportional to 312,432.71, 468,333.49 and 123,026

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Solution

The fourth proportional to 312,432.71, 468,333.49 and 123,026 is: 184,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,432.71 : 468,333.49 = 123,026 : x
  2. Step 2: Convert to fraction form
    312,432.71/468,333.49 = 123,026/x
  3. Step 3: Cross multiply
    312,432.71x = 468,333.49 × 123,026
  4. Step 4: Simplify right side
    312,432.71x = 57,617,195,940.74
  5. Step 5: Solve for x
    x = 57,617,195,940.74/312,432.71
  6. Step 6: Final answer
    x = 184,414.74

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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.