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Finding the Fourth Proportional to 428,271.30, 642,406.95 and 132,744.90

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Solution

The fourth proportional to 428,271.30, 642,406.95 and 132,744.90 is: 199,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,271.30 : 642,406.95 = 132,744.90 : x
  2. Step 2: Convert to fraction form
    428,271.30/642,406.95 = 132,744.90/x
  3. Step 3: Cross multiply
    428,271.30x = 642,406.95 × 132,744.90
  4. Step 4: Simplify right side
    428,271.30x = 85,276,246,337.06
  5. Step 5: Solve for x
    x = 85,276,246,337.06/428,271.30
  6. Step 6: Final answer
    x = 199,117.35

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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.