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Finding the Fourth Proportional to 512,081.50, 767,916.87 and 212,358.46

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Solution

The fourth proportional to 512,081.50, 767,916.87 and 212,358.46 is: 318,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,081.50 : 767,916.87 = 212,358.46 : x
  2. Step 2: Convert to fraction form
    512,081.50/767,916.87 = 212,358.46/x
  3. Step 3: Cross multiply
    512,081.50x = 767,916.87 × 212,358.46
  4. Step 4: Simplify right side
    512,081.50x = 163,073,643,921.22
  5. Step 5: Solve for x
    x = 163,073,643,921.22/512,081.50
  6. Step 6: Final answer
    x = 318,452.52

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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.