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Finding the Fourth Proportional to 542,280.45, 748,175.88 and 312,806.91

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Solution

The fourth proportional to 542,280.45, 748,175.88 and 312,806.91 is: 431,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,280.45 : 748,175.88 = 312,806.91 : x
  2. Step 2: Convert to fraction form
    542,280.45/748,175.88 = 312,806.91/x
  3. Step 3: Cross multiply
    542,280.45x = 748,175.88 × 312,806.91
  4. Step 4: Simplify right side
    542,280.45x = 234,034,585,159.33
  5. Step 5: Solve for x
    x = 234,034,585,159.33/542,280.45
  6. Step 6: Final answer
    x = 431,574.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.