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Finding the Fourth Proportional to 341,839.68, 512,909.87 and 181,878

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Solution

The fourth proportional to 341,839.68, 512,909.87 and 181,878 is: 272,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,839.68 : 512,909.87 = 181,878 : x
  2. Step 2: Convert to fraction form
    341,839.68/512,909.87 = 181,878/x
  3. Step 3: Cross multiply
    341,839.68x = 512,909.87 × 181,878
  4. Step 4: Simplify right side
    341,839.68x = 93,287,021,335.86
  5. Step 5: Solve for x
    x = 93,287,021,335.86/341,839.68
  6. Step 6: Final answer
    x = 272,896.99

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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.