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Finding the Fourth Proportional to 457,881.60, 686,502.40 and 270,796.80

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Solution

The fourth proportional to 457,881.60, 686,502.40 and 270,796.80 is: 406,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,881.60 : 686,502.40 = 270,796.80 : x
  2. Step 2: Convert to fraction form
    457,881.60/686,502.40 = 270,796.80/x
  3. Step 3: Cross multiply
    457,881.60x = 686,502.40 × 270,796.80
  4. Step 4: Simplify right side
    457,881.60x = 185,902,653,112.32
  5. Step 5: Solve for x
    x = 185,902,653,112.32/457,881.60
  6. Step 6: Final answer
    x = 406,005.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.