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Finding the Fourth Proportional to 256,493.76, 384,739.86 and 180,278.52

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Solution

The fourth proportional to 256,493.76, 384,739.86 and 180,278.52 is: 270,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,493.76 : 384,739.86 = 180,278.52 : x
  2. Step 2: Convert to fraction form
    256,493.76/384,739.86 = 180,278.52/x
  3. Step 3: Cross multiply
    256,493.76x = 384,739.86 × 180,278.52
  4. Step 4: Simplify right side
    256,493.76x = 69,360,332,545.81
  5. Step 5: Solve for x
    x = 69,360,332,545.81/256,493.76
  6. Step 6: Final answer
    x = 270,417.23

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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.