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Finding the Fourth Proportional to 272,365.20, 408,547.80 and 82,825.20

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Solution

The fourth proportional to 272,365.20, 408,547.80 and 82,825.20 is: 124,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,365.20 : 408,547.80 = 82,825.20 : x
  2. Step 2: Convert to fraction form
    272,365.20/408,547.80 = 82,825.20/x
  3. Step 3: Cross multiply
    272,365.20x = 408,547.80 × 82,825.20
  4. Step 4: Simplify right side
    272,365.20x = 33,838,053,244.56
  5. Step 5: Solve for x
    x = 33,838,053,244.56/272,365.20
  6. Step 6: Final answer
    x = 124,237.80

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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.