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Finding the Fourth Proportional to 378,456.85, 567,794.86 and 112,223.78

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Solution

The fourth proportional to 378,456.85, 567,794.86 and 112,223.78 is: 168,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,456.85 : 567,794.86 = 112,223.78 : x
  2. Step 2: Convert to fraction form
    378,456.85/567,794.86 = 112,223.78/x
  3. Step 3: Cross multiply
    378,456.85x = 567,794.86 × 112,223.78
  4. Step 4: Simplify right side
    378,456.85x = 63,720,082,334.24
  5. Step 5: Solve for x
    x = 63,720,082,334.24/378,456.85
  6. Step 6: Final answer
    x = 168,368.16

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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.