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Finding the Fourth Proportional to 200,918.15, 301,377.20 and 156,578.07

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Solution

The fourth proportional to 200,918.15, 301,377.20 and 156,578.07 is: 234,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,918.15 : 301,377.20 = 156,578.07 : x
  2. Step 2: Convert to fraction form
    200,918.15/301,377.20 = 156,578.07/x
  3. Step 3: Cross multiply
    200,918.15x = 301,377.20 × 156,578.07
  4. Step 4: Simplify right side
    200,918.15x = 47,189,059,535.11
  5. Step 5: Solve for x
    x = 47,189,059,535.11/200,918.15
  6. Step 6: Final answer
    x = 234,867.09

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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.