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Finding the Fourth Proportional to 272,438.97, 407,871.14 and 172,711.77

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Solution

The fourth proportional to 272,438.97, 407,871.14 and 172,711.77 is: 258,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,438.97 : 407,871.14 = 172,711.77 : x
  2. Step 2: Convert to fraction form
    272,438.97/407,871.14 = 172,711.77/x
  3. Step 3: Cross multiply
    272,438.97x = 407,871.14 × 172,711.77
  4. Step 4: Simplify right side
    272,438.97x = 70,444,145,657.76
  5. Step 5: Solve for x
    x = 70,444,145,657.76/272,438.97
  6. Step 6: Final answer
    x = 258,568.54

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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.