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Finding the Fourth Proportional to 457,720.66, 686,104.10 and 153,889.26

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Solution

The fourth proportional to 457,720.66, 686,104.10 and 153,889.26 is: 230,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,720.66 : 686,104.10 = 153,889.26 : x
  2. Step 2: Convert to fraction form
    457,720.66/686,104.10 = 153,889.26/x
  3. Step 3: Cross multiply
    457,720.66x = 686,104.10 × 153,889.26
  4. Step 4: Simplify right side
    457,720.66x = 105,584,052,231.97
  5. Step 5: Solve for x
    x = 105,584,052,231.97/457,720.66
  6. Step 6: Final answer
    x = 230,673.56

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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.