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Finding the Fourth Proportional to 400,805.42, 601,193.54 and 120,315.38

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Solution

The fourth proportional to 400,805.42, 601,193.54 and 120,315.38 is: 180,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,805.42 : 601,193.54 = 120,315.38 : x
  2. Step 2: Convert to fraction form
    400,805.42/601,193.54 = 120,315.38/x
  3. Step 3: Cross multiply
    400,805.42x = 601,193.54 × 120,315.38
  4. Step 4: Simplify right side
    400,805.42x = 72,332,826,513.47
  5. Step 5: Solve for x
    x = 72,332,826,513.47/400,805.42
  6. Step 6: Final answer
    x = 180,468.69

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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.