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Finding the Fourth Proportional to 398,901.78, 550,442.00 and 224,468.93

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Solution

The fourth proportional to 398,901.78, 550,442.00 and 224,468.93 is: 309,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,901.78 : 550,442.00 = 224,468.93 : x
  2. Step 2: Convert to fraction form
    398,901.78/550,442.00 = 224,468.93/x
  3. Step 3: Cross multiply
    398,901.78x = 550,442.00 × 224,468.93
  4. Step 4: Simplify right side
    398,901.78x = 123,557,128,704.34
  5. Step 5: Solve for x
    x = 123,557,128,704.34/398,901.78
  6. Step 6: Final answer
    x = 309,743.24

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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.