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Finding the Fourth Proportional to 299,999.86, 414,103.98 and 172,726.18

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Solution

The fourth proportional to 299,999.86, 414,103.98 and 172,726.18 is: 238,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,999.86 : 414,103.98 = 172,726.18 : x
  2. Step 2: Convert to fraction form
    299,999.86/414,103.98 = 172,726.18/x
  3. Step 3: Cross multiply
    299,999.86x = 414,103.98 × 172,726.18
  4. Step 4: Simplify right side
    299,999.86x = 71,526,598,588.20
  5. Step 5: Solve for x
    x = 71,526,598,588.20/299,999.86
  6. Step 6: Final answer
    x = 238,422.11

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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.