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Finding the Fourth Proportional to 409,864.80, 614,134.80 and 231,842.40

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Solution

The fourth proportional to 409,864.80, 614,134.80 and 231,842.40 is: 347,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,864.80 : 614,134.80 = 231,842.40 : x
  2. Step 2: Convert to fraction form
    409,864.80/614,134.80 = 231,842.40/x
  3. Step 3: Cross multiply
    409,864.80x = 614,134.80 × 231,842.40
  4. Step 4: Simplify right side
    409,864.80x = 142,382,485,955.52
  5. Step 5: Solve for x
    x = 142,382,485,955.52/409,864.80
  6. Step 6: Final answer
    x = 347,388.91

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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.