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Finding the Fourth Proportional to 256,698.02, 384,726 and 123,542.66

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Solution

The fourth proportional to 256,698.02, 384,726 and 123,542.66 is: 185,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,698.02 : 384,726 = 123,542.66 : x
  2. Step 2: Convert to fraction form
    256,698.02/384,726 = 123,542.66/x
  3. Step 3: Cross multiply
    256,698.02x = 384,726 × 123,542.66
  4. Step 4: Simplify right side
    256,698.02x = 47,530,073,411.16
  5. Step 5: Solve for x
    x = 47,530,073,411.16/256,698.02
  6. Step 6: Final answer
    x = 185,159.49

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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.