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Finding the Fourth Proportional to 541,643.25, 747,458.56 and 299,920.64

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Solution

The fourth proportional to 541,643.25, 747,458.56 and 299,920.64 is: 413,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,643.25 : 747,458.56 = 299,920.64 : x
  2. Step 2: Convert to fraction form
    541,643.25/747,458.56 = 299,920.64/x
  3. Step 3: Cross multiply
    541,643.25x = 747,458.56 × 299,920.64
  4. Step 4: Simplify right side
    541,643.25x = 224,178,244,451.78
  5. Step 5: Solve for x
    x = 224,178,244,451.78/541,643.25
  6. Step 6: Final answer
    x = 413,885.42

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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.