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Finding the Fourth Proportional to 342,691.65, 513,980.78 and 114,984.45

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Solution

The fourth proportional to 342,691.65, 513,980.78 and 114,984.45 is: 172,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,691.65 : 513,980.78 = 114,984.45 : x
  2. Step 2: Convert to fraction form
    342,691.65/513,980.78 = 114,984.45/x
  3. Step 3: Cross multiply
    342,691.65x = 513,980.78 × 114,984.45
  4. Step 4: Simplify right side
    342,691.65x = 59,099,796,723.95
  5. Step 5: Solve for x
    x = 59,099,796,723.95/342,691.65
  6. Step 6: Final answer
    x = 172,457.65

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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.