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Finding the Fourth Proportional to 542,311.46, 748,388.52 and 297,295.78

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Solution

The fourth proportional to 542,311.46, 748,388.52 and 297,295.78 is: 410,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,311.46 : 748,388.52 = 297,295.78 : x
  2. Step 2: Convert to fraction form
    542,311.46/748,388.52 = 297,295.78/x
  3. Step 3: Cross multiply
    542,311.46x = 748,388.52 × 297,295.78
  4. Step 4: Simplify right side
    542,311.46x = 222,492,748,796.45
  5. Step 5: Solve for x
    x = 222,492,748,796.45/542,311.46
  6. Step 6: Final answer
    x = 410,267.47

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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.