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Finding the Fourth Proportional to 391,217.40, 586,388.70 and 166,539.60

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Solution

The fourth proportional to 391,217.40, 586,388.70 and 166,539.60 is: 249,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,217.40 : 586,388.70 = 166,539.60 : x
  2. Step 2: Convert to fraction form
    391,217.40/586,388.70 = 166,539.60/x
  3. Step 3: Cross multiply
    391,217.40x = 586,388.70 × 166,539.60
  4. Step 4: Simplify right side
    391,217.40x = 97,656,939,542.52
  5. Step 5: Solve for x
    x = 97,656,939,542.52/391,217.40
  6. Step 6: Final answer
    x = 249,623.20

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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.