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Finding the Fourth Proportional to 273,002.76, 409,536.96 and 258,072.84

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Solution

The fourth proportional to 273,002.76, 409,536.96 and 258,072.84 is: 387,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,002.76 : 409,536.96 = 258,072.84 : x
  2. Step 2: Convert to fraction form
    273,002.76/409,536.96 = 258,072.84/x
  3. Step 3: Cross multiply
    273,002.76x = 409,536.96 × 258,072.84
  4. Step 4: Simplify right side
    273,002.76x = 105,690,366,352.17
  5. Step 5: Solve for x
    x = 105,690,366,352.17/273,002.76
  6. Step 6: Final answer
    x = 387,140.29

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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.