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Finding the Fourth Proportional to 272,918.40, 409,231.80 and 95,431.20

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Solution

The fourth proportional to 272,918.40, 409,231.80 and 95,431.20 is: 143,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,918.40 : 409,231.80 = 95,431.20 : x
  2. Step 2: Convert to fraction form
    272,918.40/409,231.80 = 95,431.20/x
  3. Step 3: Cross multiply
    272,918.40x = 409,231.80 × 95,431.20
  4. Step 4: Simplify right side
    272,918.40x = 39,053,481,752.16
  5. Step 5: Solve for x
    x = 39,053,481,752.16/272,918.40
  6. Step 6: Final answer
    x = 143,095.82

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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.