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Finding the Fourth Proportional to 260,499.10, 390,763.86 and 100,575.94

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Solution

The fourth proportional to 260,499.10, 390,763.86 and 100,575.94 is: 150,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,499.10 : 390,763.86 = 100,575.94 : x
  2. Step 2: Convert to fraction form
    260,499.10/390,763.86 = 100,575.94/x
  3. Step 3: Cross multiply
    260,499.10x = 390,763.86 × 100,575.94
  4. Step 4: Simplify right side
    260,499.10x = 39,301,442,537.53
  5. Step 5: Solve for x
    x = 39,301,442,537.53/260,499.10
  6. Step 6: Final answer
    x = 150,869.78

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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.