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Finding the Fourth Proportional to 427,474.80, 640,337.40 and 217,231.20

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Solution

The fourth proportional to 427,474.80, 640,337.40 and 217,231.20 is: 325,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,474.80 : 640,337.40 = 217,231.20 : x
  2. Step 2: Convert to fraction form
    427,474.80/640,337.40 = 217,231.20/x
  3. Step 3: Cross multiply
    427,474.80x = 640,337.40 × 217,231.20
  4. Step 4: Simplify right side
    427,474.80x = 139,101,261,806.88
  5. Step 5: Solve for x
    x = 139,101,261,806.88/427,474.80
  6. Step 6: Final answer
    x = 325,402.25

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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.