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Finding the Fourth Proportional to 387,275.70, 580,418.72 and 312,431.14

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Solution

The fourth proportional to 387,275.70, 580,418.72 and 312,431.14 is: 468,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,275.70 : 580,418.72 = 312,431.14 : x
  2. Step 2: Convert to fraction form
    387,275.70/580,418.72 = 312,431.14/x
  3. Step 3: Cross multiply
    387,275.70x = 580,418.72 × 312,431.14
  4. Step 4: Simplify right side
    387,275.70x = 181,340,882,366.94
  5. Step 5: Solve for x
    x = 181,340,882,366.94/387,275.70
  6. Step 6: Final answer
    x = 468,247.51

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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.