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Finding the Fourth Proportional to 260,523.84, 390,523.20 and 102,691.20

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Solution

The fourth proportional to 260,523.84, 390,523.20 and 102,691.20 is: 153,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,523.84 : 390,523.20 = 102,691.20 : x
  2. Step 2: Convert to fraction form
    260,523.84/390,523.20 = 102,691.20/x
  3. Step 3: Cross multiply
    260,523.84x = 390,523.20 × 102,691.20
  4. Step 4: Simplify right side
    260,523.84x = 40,103,296,035.84
  5. Step 5: Solve for x
    x = 40,103,296,035.84/260,523.84
  6. Step 6: Final answer
    x = 153,933.31

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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.