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Finding the Fourth Proportional to 215,077.20, 322,615.80 and 180,862.80

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Solution

The fourth proportional to 215,077.20, 322,615.80 and 180,862.80 is: 271,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,077.20 : 322,615.80 = 180,862.80 : x
  2. Step 2: Convert to fraction form
    215,077.20/322,615.80 = 180,862.80/x
  3. Step 3: Cross multiply
    215,077.20x = 322,615.80 × 180,862.80
  4. Step 4: Simplify right side
    215,077.20x = 58,349,196,912.24
  5. Step 5: Solve for x
    x = 58,349,196,912.24/215,077.20
  6. Step 6: Final answer
    x = 271,294.20

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1.5x scale

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.