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Finding the Fourth Proportional to 273,868.40, 410,802.60 and 76,876.40

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Solution

The fourth proportional to 273,868.40, 410,802.60 and 76,876.40 is: 115,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,868.40 : 410,802.60 = 76,876.40 : x
  2. Step 2: Convert to fraction form
    273,868.40/410,802.60 = 76,876.40/x
  3. Step 3: Cross multiply
    273,868.40x = 410,802.60 × 76,876.40
  4. Step 4: Simplify right side
    273,868.40x = 31,581,024,998.64
  5. Step 5: Solve for x
    x = 31,581,024,998.64/273,868.40
  6. Step 6: Final answer
    x = 115,314.60

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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.