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Finding the Fourth Proportional to 206,043.40, 309,065.10 and 159,329.80

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Solution

The fourth proportional to 206,043.40, 309,065.10 and 159,329.80 is: 238,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,043.40 : 309,065.10 = 159,329.80 : x
  2. Step 2: Convert to fraction form
    206,043.40/309,065.10 = 159,329.80/x
  3. Step 3: Cross multiply
    206,043.40x = 309,065.10 × 159,329.80
  4. Step 4: Simplify right side
    206,043.40x = 49,243,280,569.98
  5. Step 5: Solve for x
    x = 49,243,280,569.98/206,043.40
  6. Step 6: Final answer
    x = 238,994.70

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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.