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Finding the Fourth Proportional to 457,348.80, 631,140 and 263,755.68

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Solution

The fourth proportional to 457,348.80, 631,140 and 263,755.68 is: 363,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,348.80 : 631,140 = 263,755.68 : x
  2. Step 2: Convert to fraction form
    457,348.80/631,140 = 263,755.68/x
  3. Step 3: Cross multiply
    457,348.80x = 631,140 × 263,755.68
  4. Step 4: Simplify right side
    457,348.80x = 166,466,759,875.20
  5. Step 5: Solve for x
    x = 166,466,759,875.20/457,348.80
  6. Step 6: Final answer
    x = 363,982.06

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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.