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Finding the Fourth Proportional to 240,242.78, 359,968.34 and 82,384.58

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Solution

The fourth proportional to 240,242.78, 359,968.34 and 82,384.58 is: 123,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,242.78 : 359,968.34 = 82,384.58 : x
  2. Step 2: Convert to fraction form
    240,242.78/359,968.34 = 82,384.58/x
  3. Step 3: Cross multiply
    240,242.78x = 359,968.34 × 82,384.58
  4. Step 4: Simplify right side
    240,242.78x = 29,655,838,292.43
  5. Step 5: Solve for x
    x = 29,655,838,292.43/240,242.78
  6. Step 6: Final answer
    x = 123,441.12

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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.