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Finding the Fourth Proportional to 206,983.40, 310,415 and 80,595.40

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Solution

The fourth proportional to 206,983.40, 310,415 and 80,595.40 is: 120,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,983.40 : 310,415 = 80,595.40 : x
  2. Step 2: Convert to fraction form
    206,983.40/310,415 = 80,595.40/x
  3. Step 3: Cross multiply
    206,983.40x = 310,415 × 80,595.40
  4. Step 4: Simplify right side
    206,983.40x = 25,018,021,091
  5. Step 5: Solve for x
    x = 25,018,021,091/206,983.40
  6. Step 6: Final answer
    x = 120,869.70

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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.