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Finding the Fourth Proportional to 338,913.80, 508,140.30 and 161,505.80

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Solution

The fourth proportional to 338,913.80, 508,140.30 and 161,505.80 is: 242,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,913.80 : 508,140.30 = 161,505.80 : x
  2. Step 2: Convert to fraction form
    338,913.80/508,140.30 = 161,505.80/x
  3. Step 3: Cross multiply
    338,913.80x = 508,140.30 × 161,505.80
  4. Step 4: Simplify right side
    338,913.80x = 82,067,605,663.74
  5. Step 5: Solve for x
    x = 82,067,605,663.74/338,913.80
  6. Step 6: Final answer
    x = 242,148.91

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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.