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Finding the Fourth Proportional to 457,179.80, 685,818.29 and 141,661.31

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Solution

The fourth proportional to 457,179.80, 685,818.29 and 141,661.31 is: 212,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,179.80 : 685,818.29 = 141,661.31 : x
  2. Step 2: Convert to fraction form
    457,179.80/685,818.29 = 141,661.31/x
  3. Step 3: Cross multiply
    457,179.80x = 685,818.29 × 141,661.31
  4. Step 4: Simplify right side
    457,179.80x = 97,153,914,308.42
  5. Step 5: Solve for x
    x = 97,153,914,308.42/457,179.80
  6. Step 6: Final answer
    x = 212,507.02

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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.