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Finding the Fourth Proportional to 260,151.20, 390,226.80 and 166,839.20

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Solution

The fourth proportional to 260,151.20, 390,226.80 and 166,839.20 is: 250,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,151.20 : 390,226.80 = 166,839.20 : x
  2. Step 2: Convert to fraction form
    260,151.20/390,226.80 = 166,839.20/x
  3. Step 3: Cross multiply
    260,151.20x = 390,226.80 × 166,839.20
  4. Step 4: Simplify right side
    260,151.20x = 65,105,127,130.56
  5. Step 5: Solve for x
    x = 65,105,127,130.56/260,151.20
  6. Step 6: Final answer
    x = 250,258.80

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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.