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Finding the Fourth Proportional to 299,354.32, 413,105.16 and 165,209.68

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Solution

The fourth proportional to 299,354.32, 413,105.16 and 165,209.68 is: 227,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,354.32 : 413,105.16 = 165,209.68 : x
  2. Step 2: Convert to fraction form
    299,354.32/413,105.16 = 165,209.68/x
  3. Step 3: Cross multiply
    299,354.32x = 413,105.16 × 165,209.68
  4. Step 4: Simplify right side
    299,354.32x = 68,248,971,289.95
  5. Step 5: Solve for x
    x = 68,248,971,289.95/299,354.32
  6. Step 6: Final answer
    x = 227,987.26

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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.