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Finding the Fourth Proportional to 213,913.20, 320,869.80 and 195,250.80

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Solution

The fourth proportional to 213,913.20, 320,869.80 and 195,250.80 is: 292,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,913.20 : 320,869.80 = 195,250.80 : x
  2. Step 2: Convert to fraction form
    213,913.20/320,869.80 = 195,250.80/x
  3. Step 3: Cross multiply
    213,913.20x = 320,869.80 × 195,250.80
  4. Step 4: Simplify right side
    213,913.20x = 62,650,085,145.84
  5. Step 5: Solve for x
    x = 62,650,085,145.84/213,913.20
  6. Step 6: Final answer
    x = 292,876.20

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1.5x scale

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.