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Finding the Fourth Proportional to 200,206.80, 299,872.80 and 155,482.65

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Solution

The fourth proportional to 200,206.80, 299,872.80 and 155,482.65 is: 232,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,206.80 : 299,872.80 = 155,482.65 : x
  2. Step 2: Convert to fraction form
    200,206.80/299,872.80 = 155,482.65/x
  3. Step 3: Cross multiply
    200,206.80x = 299,872.80 × 155,482.65
  4. Step 4: Simplify right side
    200,206.80x = 46,625,017,606.92
  5. Step 5: Solve for x
    x = 46,625,017,606.92/200,206.80
  6. Step 6: Final answer
    x = 232,884.29

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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.