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Finding the Fourth Proportional to 399,111.84, 550,868.76 and 229,444.56

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Solution

The fourth proportional to 399,111.84, 550,868.76 and 229,444.56 is: 316,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,111.84 : 550,868.76 = 229,444.56 : x
  2. Step 2: Convert to fraction form
    399,111.84/550,868.76 = 229,444.56/x
  3. Step 3: Cross multiply
    399,111.84x = 550,868.76 × 229,444.56
  4. Step 4: Simplify right side
    399,111.84x = 126,393,840,255.95
  5. Step 5: Solve for x
    x = 126,393,840,255.95/399,111.84
  6. Step 6: Final answer
    x = 316,687.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.