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Finding the Fourth Proportional to 272,257.70, 407,414.55 and 172,465.70

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Solution

The fourth proportional to 272,257.70, 407,414.55 and 172,465.70 is: 258,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,257.70 : 407,414.55 = 172,465.70 : x
  2. Step 2: Convert to fraction form
    272,257.70/407,414.55 = 172,465.70/x
  3. Step 3: Cross multiply
    272,257.70x = 407,414.55 × 172,465.70
  4. Step 4: Simplify right side
    272,257.70x = 70,265,035,555.94
  5. Step 5: Solve for x
    x = 70,265,035,555.94/272,257.70
  6. Step 6: Final answer
    x = 258,082.82

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1.5x scale

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.