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Finding the Fourth Proportional to 398,857.24, 550,394.58 and 224,452.84

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Solution

The fourth proportional to 398,857.24, 550,394.58 and 224,452.84 is: 309,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,857.24 : 550,394.58 = 224,452.84 : x
  2. Step 2: Convert to fraction form
    398,857.24/550,394.58 = 224,452.84/x
  3. Step 3: Cross multiply
    398,857.24x = 550,394.58 × 224,452.84
  4. Step 4: Simplify right side
    398,857.24x = 123,537,626,601.61
  5. Step 5: Solve for x
    x = 123,537,626,601.61/398,857.24
  6. Step 6: Final answer
    x = 309,728.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.