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Finding the Fourth Proportional to 401,641.80, 602,042.34 and 135,310.29

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Solution

The fourth proportional to 401,641.80, 602,042.34 and 135,310.29 is: 202,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,641.80 : 602,042.34 = 135,310.29 : x
  2. Step 2: Convert to fraction form
    401,641.80/602,042.34 = 135,310.29/x
  3. Step 3: Cross multiply
    401,641.80x = 602,042.34 × 135,310.29
  4. Step 4: Simplify right side
    401,641.80x = 81,462,523,617.68
  5. Step 5: Solve for x
    x = 81,462,523,617.68/401,641.80
  6. Step 6: Final answer
    x = 202,823.82

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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.