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Finding the Fourth Proportional to 312,377.40, 468,564.54 and 75,720.09

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Solution

The fourth proportional to 312,377.40, 468,564.54 and 75,720.09 is: 113,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,377.40 : 468,564.54 = 75,720.09 : x
  2. Step 2: Convert to fraction form
    312,377.40/468,564.54 = 75,720.09/x
  3. Step 3: Cross multiply
    312,377.40x = 468,564.54 × 75,720.09
  4. Step 4: Simplify right side
    312,377.40x = 35,479,749,139.61
  5. Step 5: Solve for x
    x = 35,479,749,139.61/312,377.40
  6. Step 6: Final answer
    x = 113,579.76

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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.