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Finding the Fourth Proportional to 312,371.40, 468,552.88 and 75,716.16

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Solution

The fourth proportional to 312,371.40, 468,552.88 and 75,716.16 is: 113,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,371.40 : 468,552.88 = 75,716.16 : x
  2. Step 2: Convert to fraction form
    312,371.40/468,552.88 = 75,716.16/x
  3. Step 3: Cross multiply
    312,371.40x = 468,552.88 × 75,716.16
  4. Step 4: Simplify right side
    312,371.40x = 35,477,024,830.54
  5. Step 5: Solve for x
    x = 35,477,024,830.54/312,371.40
  6. Step 6: Final answer
    x = 113,573.22

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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.