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Finding the Fourth Proportional to 260,202.60, 390,303.90 and 102,344.76

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Solution

The fourth proportional to 260,202.60, 390,303.90 and 102,344.76 is: 153,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,202.60 : 390,303.90 = 102,344.76 : x
  2. Step 2: Convert to fraction form
    260,202.60/390,303.90 = 102,344.76/x
  3. Step 3: Cross multiply
    260,202.60x = 390,303.90 × 102,344.76
  4. Step 4: Simplify right side
    260,202.60x = 39,945,558,972.56
  5. Step 5: Solve for x
    x = 39,945,558,972.56/260,202.60
  6. Step 6: Final answer
    x = 153,517.14

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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.