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Finding the Fourth Proportional to 200,443.42, 300,447.78 and 100,362.34

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Solution

The fourth proportional to 200,443.42, 300,447.78 and 100,362.34 is: 150,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,443.42 : 300,447.78 = 100,362.34 : x
  2. Step 2: Convert to fraction form
    200,443.42/300,447.78 = 100,362.34/x
  3. Step 3: Cross multiply
    200,443.42x = 300,447.78 × 100,362.34
  4. Step 4: Simplify right side
    200,443.42x = 30,153,642,248.61
  5. Step 5: Solve for x
    x = 30,153,642,248.61/200,443.42
  6. Step 6: Final answer
    x = 150,434.68

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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.