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Finding the Fourth Proportional to 272,328.44, 408,065.80 and 172,277.28

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Solution

The fourth proportional to 272,328.44, 408,065.80 and 172,277.28 is: 258,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,328.44 : 408,065.80 = 172,277.28 : x
  2. Step 2: Convert to fraction form
    272,328.44/408,065.80 = 172,277.28/x
  3. Step 3: Cross multiply
    272,328.44x = 408,065.80 × 172,277.28
  4. Step 4: Simplify right side
    272,328.44x = 70,300,466,085.02
  5. Step 5: Solve for x
    x = 70,300,466,085.02/272,328.44
  6. Step 6: Final answer
    x = 258,145.88

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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.