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Finding the Fourth Proportional to 272,930, 409,228.24 and 130,818.76

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Solution

The fourth proportional to 272,930, 409,228.24 and 130,818.76 is: 196,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,930 : 409,228.24 = 130,818.76 : x
  2. Step 2: Convert to fraction form
    272,930/409,228.24 = 130,818.76/x
  3. Step 3: Cross multiply
    272,930x = 409,228.24 × 130,818.76
  4. Step 4: Simplify right side
    272,930x = 53,534,730,913.78
  5. Step 5: Solve for x
    x = 53,534,730,913.78/272,930
  6. Step 6: Final answer
    x = 196,148.21

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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.