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Finding the Fourth Proportional to 358,983.20, 538,912.20 and 181,398.80

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Solution

The fourth proportional to 358,983.20, 538,912.20 and 181,398.80 is: 272,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,983.20 : 538,912.20 = 181,398.80 : x
  2. Step 2: Convert to fraction form
    358,983.20/538,912.20 = 181,398.80/x
  3. Step 3: Cross multiply
    358,983.20x = 538,912.20 × 181,398.80
  4. Step 4: Simplify right side
    358,983.20x = 97,758,026,385.36
  5. Step 5: Solve for x
    x = 97,758,026,385.36/358,983.20
  6. Step 6: Final answer
    x = 272,319.22

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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.