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Finding the Fourth Proportional to 457,129.02, 685,686.24 and 124,705.02

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Solution

The fourth proportional to 457,129.02, 685,686.24 and 124,705.02 is: 187,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,129.02 : 685,686.24 = 124,705.02 : x
  2. Step 2: Convert to fraction form
    457,129.02/685,686.24 = 124,705.02/x
  3. Step 3: Cross multiply
    457,129.02x = 685,686.24 × 124,705.02
  4. Step 4: Simplify right side
    457,129.02x = 85,508,516,272.92
  5. Step 5: Solve for x
    x = 85,508,516,272.92/457,129.02
  6. Step 6: Final answer
    x = 187,055.54

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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.