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Finding the Fourth Proportional to 409,246.80, 613,870.20 and 209,500.80

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Solution

The fourth proportional to 409,246.80, 613,870.20 and 209,500.80 is: 314,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,246.80 : 613,870.20 = 209,500.80 : x
  2. Step 2: Convert to fraction form
    409,246.80/613,870.20 = 209,500.80/x
  3. Step 3: Cross multiply
    409,246.80x = 613,870.20 × 209,500.80
  4. Step 4: Simplify right side
    409,246.80x = 128,606,297,996.16
  5. Step 5: Solve for x
    x = 128,606,297,996.16/409,246.80
  6. Step 6: Final answer
    x = 314,251.20

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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.