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Finding the Fourth Proportional to 457,255.68, 685,695.78 and 137,295.74

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Solution

The fourth proportional to 457,255.68, 685,695.78 and 137,295.74 is: 205,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,255.68 : 685,695.78 = 137,295.74 : x
  2. Step 2: Convert to fraction form
    457,255.68/685,695.78 = 137,295.74/x
  3. Step 3: Cross multiply
    457,255.68x = 685,695.78 × 137,295.74
  4. Step 4: Simplify right side
    457,255.68x = 94,143,109,529.98
  5. Step 5: Solve for x
    x = 94,143,109,529.98/457,255.68
  6. Step 6: Final answer
    x = 205,887.24

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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.