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Finding the Fourth Proportional to 260,724.80, 390,928.80 and 102,771.20

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Solution

The fourth proportional to 260,724.80, 390,928.80 and 102,771.20 is: 154,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,724.80 : 390,928.80 = 102,771.20 : x
  2. Step 2: Convert to fraction form
    260,724.80/390,928.80 = 102,771.20/x
  3. Step 3: Cross multiply
    260,724.80x = 390,928.80 × 102,771.20
  4. Step 4: Simplify right side
    260,724.80x = 40,176,221,890.56
  5. Step 5: Solve for x
    x = 40,176,221,890.56/260,724.80
  6. Step 6: Final answer
    x = 154,094.36

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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.