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Finding the Fourth Proportional to 272,999.76, 409,532.45 and 258,069.84

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Solution

The fourth proportional to 272,999.76, 409,532.45 and 258,069.84 is: 387,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,999.76 : 409,532.45 = 258,069.84 : x
  2. Step 2: Convert to fraction form
    272,999.76/409,532.45 = 258,069.84/x
  3. Step 3: Cross multiply
    272,999.76x = 409,532.45 × 258,069.84
  4. Step 4: Simplify right side
    272,999.76x = 105,687,973,846.31
  5. Step 5: Solve for x
    x = 105,687,973,846.31/272,999.76
  6. Step 6: Final answer
    x = 387,135.78

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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.