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Finding the Fourth Proportional to 542,312.46, 748,389.90 and 297,296.78

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Solution

The fourth proportional to 542,312.46, 748,389.90 and 297,296.78 is: 410,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,312.46 : 748,389.90 = 297,296.78 : x
  2. Step 2: Convert to fraction form
    542,312.46/748,389.90 = 297,296.78/x
  3. Step 3: Cross multiply
    542,312.46x = 748,389.90 × 297,296.78
  4. Step 4: Simplify right side
    542,312.46x = 222,493,907,454.52
  5. Step 5: Solve for x
    x = 222,493,907,454.52/542,312.46
  6. Step 6: Final answer
    x = 410,268.85

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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.