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Finding the Fourth Proportional to 338,643.20, 508,180.80 and 161,350.40

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Solution

The fourth proportional to 338,643.20, 508,180.80 and 161,350.40 is: 242,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,643.20 : 508,180.80 = 161,350.40 : x
  2. Step 2: Convert to fraction form
    338,643.20/508,180.80 = 161,350.40/x
  3. Step 3: Cross multiply
    338,643.20x = 508,180.80 × 161,350.40
  4. Step 4: Simplify right side
    338,643.20x = 81,995,175,352.32
  5. Step 5: Solve for x
    x = 81,995,175,352.32/338,643.20
  6. Step 6: Final answer
    x = 242,128.52

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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.