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Finding the Fourth Proportional to 202,256.80, 280,294.22 and 199,402.76

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Solution

The fourth proportional to 202,256.80, 280,294.22 and 199,402.76 is: 276,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,256.80 : 280,294.22 = 199,402.76 : x
  2. Step 2: Convert to fraction form
    202,256.80/280,294.22 = 199,402.76/x
  3. Step 3: Cross multiply
    202,256.80x = 280,294.22 × 199,402.76
  4. Step 4: Simplify right side
    202,256.80x = 55,891,442,279.29
  5. Step 5: Solve for x
    x = 55,891,442,279.29/202,256.80
  6. Step 6: Final answer
    x = 276,339.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.