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Finding the Fourth Proportional to 488,159.61, 729,270.68 and 315,978.60

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Solution

The fourth proportional to 488,159.61, 729,270.68 and 315,978.60 is: 472,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,159.61 : 729,270.68 = 315,978.60 : x
  2. Step 2: Convert to fraction form
    488,159.61/729,270.68 = 315,978.60/x
  3. Step 3: Cross multiply
    488,159.61x = 729,270.68 × 315,978.60
  4. Step 4: Simplify right side
    488,159.61x = 230,433,928,487.45
  5. Step 5: Solve for x
    x = 230,433,928,487.45/488,159.61
  6. Step 6: Final answer
    x = 472,046.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.