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Finding the Fourth Proportional to 216,994.96, 299,253.20 and 148,891.78

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Solution

The fourth proportional to 216,994.96, 299,253.20 and 148,891.78 is: 205,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,994.96 : 299,253.20 = 148,891.78 : x
  2. Step 2: Convert to fraction form
    216,994.96/299,253.20 = 148,891.78/x
  3. Step 3: Cross multiply
    216,994.96x = 299,253.20 × 148,891.78
  4. Step 4: Simplify right side
    216,994.96x = 44,556,341,618.70
  5. Step 5: Solve for x
    x = 44,556,341,618.70/216,994.96
  6. Step 6: Final answer
    x = 205,333.53

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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.