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Finding the Fourth Proportional to 256,642.50, 384,957.27 and 69,649.14

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Solution

The fourth proportional to 256,642.50, 384,957.27 and 69,649.14 is: 104,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,642.50 : 384,957.27 = 69,649.14 : x
  2. Step 2: Convert to fraction form
    256,642.50/384,957.27 = 69,649.14/x
  3. Step 3: Cross multiply
    256,642.50x = 384,957.27 × 69,649.14
  4. Step 4: Simplify right side
    256,642.50x = 26,811,942,792.25
  5. Step 5: Solve for x
    x = 26,811,942,792.25/256,642.50
  6. Step 6: Final answer
    x = 104,471.95

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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.