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Finding the Fourth Proportional to 401,820.80, 602,512.20 and 121,301.60

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Solution

The fourth proportional to 401,820.80, 602,512.20 and 121,301.60 is: 181,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,820.80 : 602,512.20 = 121,301.60 : x
  2. Step 2: Convert to fraction form
    401,820.80/602,512.20 = 121,301.60/x
  3. Step 3: Cross multiply
    401,820.80x = 602,512.20 × 121,301.60
  4. Step 4: Simplify right side
    401,820.80x = 73,085,693,879.52
  5. Step 5: Solve for x
    x = 73,085,693,879.52/401,820.80
  6. Step 6: Final answer
    x = 181,886.29

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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.