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Finding the Fourth Proportional to 272,334.20, 407,529.30 and 172,542.20

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Solution

The fourth proportional to 272,334.20, 407,529.30 and 172,542.20 is: 258,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,334.20 : 407,529.30 = 172,542.20 : x
  2. Step 2: Convert to fraction form
    272,334.20/407,529.30 = 172,542.20/x
  3. Step 3: Cross multiply
    272,334.20x = 407,529.30 × 172,542.20
  4. Step 4: Simplify right side
    272,334.20x = 70,316,001,986.46
  5. Step 5: Solve for x
    x = 70,316,001,986.46/272,334.20
  6. Step 6: Final answer
    x = 258,197.47

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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.