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Finding the Fourth Proportional to 391,028.80, 586,251.60 and 166,205.20

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Solution

The fourth proportional to 391,028.80, 586,251.60 and 166,205.20 is: 249,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,028.80 : 586,251.60 = 166,205.20 : x
  2. Step 2: Convert to fraction form
    391,028.80/586,251.60 = 166,205.20/x
  3. Step 3: Cross multiply
    391,028.80x = 586,251.60 × 166,205.20
  4. Step 4: Simplify right side
    391,028.80x = 97,438,064,428.32
  5. Step 5: Solve for x
    x = 97,438,064,428.32/391,028.80
  6. Step 6: Final answer
    x = 249,183.86

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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.