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Finding the Fourth Proportional to 284,365.92, 426,390.12 and 178,959

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Solution

The fourth proportional to 284,365.92, 426,390.12 and 178,959 is: 268,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,365.92 : 426,390.12 = 178,959 : x
  2. Step 2: Convert to fraction form
    284,365.92/426,390.12 = 178,959/x
  3. Step 3: Cross multiply
    284,365.92x = 426,390.12 × 178,959
  4. Step 4: Simplify right side
    284,365.92x = 76,306,349,485.08
  5. Step 5: Solve for x
    x = 76,306,349,485.08/284,365.92
  6. Step 6: Final answer
    x = 268,338.59

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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.