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Finding the Fourth Proportional to 272,843.40, 410,139.90 and 194,500.20

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Solution

The fourth proportional to 272,843.40, 410,139.90 and 194,500.20 is: 292,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,843.40 : 410,139.90 = 194,500.20 : x
  2. Step 2: Convert to fraction form
    272,843.40/410,139.90 = 194,500.20/x
  3. Step 3: Cross multiply
    272,843.40x = 410,139.90 × 194,500.20
  4. Step 4: Simplify right side
    272,843.40x = 79,772,292,577.98
  5. Step 5: Solve for x
    x = 79,772,292,577.98/272,843.40
  6. Step 6: Final answer
    x = 292,373.91

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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.