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Finding the Fourth Proportional to 312,298.28, 468,377.34 and 143,656.64

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Solution

The fourth proportional to 312,298.28, 468,377.34 and 143,656.64 is: 215,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,298.28 : 468,377.34 = 143,656.64 : x
  2. Step 2: Convert to fraction form
    312,298.28/468,377.34 = 143,656.64/x
  3. Step 3: Cross multiply
    312,298.28x = 468,377.34 × 143,656.64
  4. Step 4: Simplify right side
    312,298.28x = 67,285,514,916.54
  5. Step 5: Solve for x
    x = 67,285,514,916.54/312,298.28
  6. Step 6: Final answer
    x = 215,452.72

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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.