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Finding the Fourth Proportional to 299,542.90, 413,335.20 and 172,259.50

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Solution

The fourth proportional to 299,542.90, 413,335.20 and 172,259.50 is: 237,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,542.90 : 413,335.20 = 172,259.50 : x
  2. Step 2: Convert to fraction form
    299,542.90/413,335.20 = 172,259.50/x
  3. Step 3: Cross multiply
    299,542.90x = 413,335.20 × 172,259.50
  4. Step 4: Simplify right side
    299,542.90x = 71,200,914,884.40
  5. Step 5: Solve for x
    x = 71,200,914,884.40/299,542.90
  6. Step 6: Final answer
    x = 237,698.56

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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.