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Finding the Fourth Proportional to 200,205.30, 299,870.55 and 155,481.15

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Solution

The fourth proportional to 200,205.30, 299,870.55 and 155,481.15 is: 232,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,205.30 : 299,870.55 = 155,481.15 : x
  2. Step 2: Convert to fraction form
    200,205.30/299,870.55 = 155,481.15/x
  3. Step 3: Cross multiply
    200,205.30x = 299,870.55 × 155,481.15
  4. Step 4: Simplify right side
    200,205.30x = 46,624,217,965.13
  5. Step 5: Solve for x
    x = 46,624,217,965.13/200,205.30
  6. Step 6: Final answer
    x = 232,882.04

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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.