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Finding the Fourth Proportional to 284,211.54, 426,448.53 and 126,543.42

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Solution

The fourth proportional to 284,211.54, 426,448.53 and 126,543.42 is: 189,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,211.54 : 426,448.53 = 126,543.42 : x
  2. Step 2: Convert to fraction form
    284,211.54/426,448.53 = 126,543.42/x
  3. Step 3: Cross multiply
    284,211.54x = 426,448.53 × 126,543.42
  4. Step 4: Simplify right side
    284,211.54x = 53,964,255,440.17
  5. Step 5: Solve for x
    x = 53,964,255,440.17/284,211.54
  6. Step 6: Final answer
    x = 189,873.55

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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.