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Finding the Fourth Proportional to 261,892.80, 393,314.40 and 229,233.60

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Solution

The fourth proportional to 261,892.80, 393,314.40 and 229,233.60 is: 344,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892.80 : 393,314.40 = 229,233.60 : x
  2. Step 2: Convert to fraction form
    261,892.80/393,314.40 = 229,233.60/x
  3. Step 3: Cross multiply
    261,892.80x = 393,314.40 × 229,233.60
  4. Step 4: Simplify right side
    261,892.80x = 90,160,875,843.84
  5. Step 5: Solve for x
    x = 90,160,875,843.84/261,892.80
  6. Step 6: Final answer
    x = 344,266.34

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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.