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Finding the Fourth Proportional to 272,999.26, 409,531.70 and 258,069.34

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Solution

The fourth proportional to 272,999.26, 409,531.70 and 258,069.34 is: 387,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,999.26 : 409,531.70 = 258,069.34 : x
  2. Step 2: Convert to fraction form
    272,999.26/409,531.70 = 258,069.34/x
  3. Step 3: Cross multiply
    272,999.26x = 409,531.70 × 258,069.34
  4. Step 4: Simplify right side
    272,999.26x = 105,687,574,237.73
  5. Step 5: Solve for x
    x = 105,687,574,237.73/272,999.26
  6. Step 6: Final answer
    x = 387,135.02

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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.