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Finding the Fourth Proportional to 206,788.40, 310,474.20 and 128,056.40

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Solution

The fourth proportional to 206,788.40, 310,474.20 and 128,056.40 is: 192,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,788.40 : 310,474.20 = 128,056.40 : x
  2. Step 2: Convert to fraction form
    206,788.40/310,474.20 = 128,056.40/x
  3. Step 3: Cross multiply
    206,788.40x = 310,474.20 × 128,056.40
  4. Step 4: Simplify right side
    206,788.40x = 39,758,208,344.88
  5. Step 5: Solve for x
    x = 39,758,208,344.88/206,788.40
  6. Step 6: Final answer
    x = 192,265.18

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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.