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Finding the Fourth Proportional to 217,648.58, 326,407.25 and 77,398.70

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Solution

The fourth proportional to 217,648.58, 326,407.25 and 77,398.70 is: 116,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,648.58 : 326,407.25 = 77,398.70 : x
  2. Step 2: Convert to fraction form
    217,648.58/326,407.25 = 77,398.70/x
  3. Step 3: Cross multiply
    217,648.58x = 326,407.25 × 77,398.70
  4. Step 4: Simplify right side
    217,648.58x = 25,263,494,801.55
  5. Step 5: Solve for x
    x = 25,263,494,801.55/217,648.58
  6. Step 6: Final answer
    x = 116,074.71

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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.