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Finding the Fourth Proportional to 260,046.10, 390,069.15 and 149,454.10

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Solution

The fourth proportional to 260,046.10, 390,069.15 and 149,454.10 is: 224,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,046.10 : 390,069.15 = 149,454.10 : x
  2. Step 2: Convert to fraction form
    260,046.10/390,069.15 = 149,454.10/x
  3. Step 3: Cross multiply
    260,046.10x = 390,069.15 × 149,454.10
  4. Step 4: Simplify right side
    260,046.10x = 58,297,433,751.02
  5. Step 5: Solve for x
    x = 58,297,433,751.02/260,046.10
  6. Step 6: Final answer
    x = 224,181.15

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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.