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Finding the Fourth Proportional to 256,834.40, 385,252.14 and 138,561.44

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Solution

The fourth proportional to 256,834.40, 385,252.14 and 138,561.44 is: 207,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,834.40 : 385,252.14 = 138,561.44 : x
  2. Step 2: Convert to fraction form
    256,834.40/385,252.14 = 138,561.44/x
  3. Step 3: Cross multiply
    256,834.40x = 385,252.14 × 138,561.44
  4. Step 4: Simplify right side
    256,834.40x = 53,381,091,281.48
  5. Step 5: Solve for x
    x = 53,381,091,281.48/256,834.40
  6. Step 6: Final answer
    x = 207,842.45

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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.