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Finding the Fourth Proportional to 312,812.80, 469,220.16 and 76,155.52

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Solution

The fourth proportional to 312,812.80, 469,220.16 and 76,155.52 is: 114,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,812.80 : 469,220.16 = 76,155.52 : x
  2. Step 2: Convert to fraction form
    312,812.80/469,220.16 = 76,155.52/x
  3. Step 3: Cross multiply
    312,812.80x = 469,220.16 × 76,155.52
  4. Step 4: Simplify right side
    312,812.80x = 35,733,705,279.28
  5. Step 5: Solve for x
    x = 35,733,705,279.28/312,812.80
  6. Step 6: Final answer
    x = 114,233.51

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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.