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Finding the Fourth Proportional to 271,795.65, 407,610.45 and 129,565.95

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Solution

The fourth proportional to 271,795.65, 407,610.45 and 129,565.95 is: 194,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,795.65 : 407,610.45 = 129,565.95 : x
  2. Step 2: Convert to fraction form
    271,795.65/407,610.45 = 129,565.95/x
  3. Step 3: Cross multiply
    271,795.65x = 407,610.45 × 129,565.95
  4. Step 4: Simplify right side
    271,795.65x = 52,812,435,184.18
  5. Step 5: Solve for x
    x = 52,812,435,184.18/271,795.65
  6. Step 6: Final answer
    x = 194,309.35

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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.