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Finding the Fourth Proportional to 256,762, 385,048.54 and 88,234.48

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Solution

The fourth proportional to 256,762, 385,048.54 and 88,234.48 is: 132,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,762 : 385,048.54 = 88,234.48 : x
  2. Step 2: Convert to fraction form
    256,762/385,048.54 = 88,234.48/x
  3. Step 3: Cross multiply
    256,762x = 385,048.54 × 88,234.48
  4. Step 4: Simplify right side
    256,762x = 33,974,557,701.66
  5. Step 5: Solve for x
    x = 33,974,557,701.66/256,762
  6. Step 6: Final answer
    x = 132,319.26

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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.