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Finding the Fourth Proportional to 206,681.40, 310,022.10 and 205,126.20

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Solution

The fourth proportional to 206,681.40, 310,022.10 and 205,126.20 is: 307,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,681.40 : 310,022.10 = 205,126.20 : x
  2. Step 2: Convert to fraction form
    206,681.40/310,022.10 = 205,126.20/x
  3. Step 3: Cross multiply
    206,681.40x = 310,022.10 × 205,126.20
  4. Step 4: Simplify right side
    206,681.40x = 63,593,655,289.02
  5. Step 5: Solve for x
    x = 63,593,655,289.02/206,681.40
  6. Step 6: Final answer
    x = 307,689.30

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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.