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Finding the Fourth Proportional to 457,111.79, 686,109.95 and 220,620.95

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Solution

The fourth proportional to 457,111.79, 686,109.95 and 220,620.95 is: 331,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,111.79 : 686,109.95 = 220,620.95 : x
  2. Step 2: Convert to fraction form
    457,111.79/686,109.95 = 220,620.95/x
  3. Step 3: Cross multiply
    457,111.79x = 686,109.95 × 220,620.95
  4. Step 4: Simplify right side
    457,111.79x = 151,370,227,870.35
  5. Step 5: Solve for x
    x = 151,370,227,870.35/457,111.79
  6. Step 6: Final answer
    x = 331,144.88

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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.