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Finding the Fourth Proportional to 216,278.71, 298,465.16 and 120,788.82

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Solution

The fourth proportional to 216,278.71, 298,465.16 and 120,788.82 is: 166,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,278.71 : 298,465.16 = 120,788.82 : x
  2. Step 2: Convert to fraction form
    216,278.71/298,465.16 = 120,788.82/x
  3. Step 3: Cross multiply
    216,278.71x = 298,465.16 × 120,788.82
  4. Step 4: Simplify right side
    216,278.71x = 36,051,253,883.57
  5. Step 5: Solve for x
    x = 36,051,253,883.57/216,278.71
  6. Step 6: Final answer
    x = 166,688.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.