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Finding the Fourth Proportional to 202,987.62, 280,390.65 and 155,823.78

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Solution

The fourth proportional to 202,987.62, 280,390.65 and 155,823.78 is: 215,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,987.62 : 280,390.65 = 155,823.78 : x
  2. Step 2: Convert to fraction form
    202,987.62/280,390.65 = 155,823.78/x
  3. Step 3: Cross multiply
    202,987.62x = 280,390.65 × 155,823.78
  4. Step 4: Simplify right side
    202,987.62x = 43,691,530,959.66
  5. Step 5: Solve for x
    x = 43,691,530,959.66/202,987.62
  6. Step 6: Final answer
    x = 215,242.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.