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Finding the Fourth Proportional to 312,428.80, 468,643.20 and 75,771.10

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Solution

The fourth proportional to 312,428.80, 468,643.20 and 75,771.10 is: 113,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,428.80 : 468,643.20 = 75,771.10 : x
  2. Step 2: Convert to fraction form
    312,428.80/468,643.20 = 75,771.10/x
  3. Step 3: Cross multiply
    312,428.80x = 468,643.20 × 75,771.10
  4. Step 4: Simplify right side
    312,428.80x = 35,509,610,771.52
  5. Step 5: Solve for x
    x = 35,509,610,771.52/312,428.80
  6. Step 6: Final answer
    x = 113,656.65

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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.