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Finding the Fourth Proportional to 491,339.52, 677,808 and 300,021.84

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Solution

The fourth proportional to 491,339.52, 677,808 and 300,021.84 is: 413,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,339.52 : 677,808 = 300,021.84 : x
  2. Step 2: Convert to fraction form
    491,339.52/677,808 = 300,021.84/x
  3. Step 3: Cross multiply
    491,339.52x = 677,808 × 300,021.84
  4. Step 4: Simplify right side
    491,339.52x = 203,357,203,326.72
  5. Step 5: Solve for x
    x = 203,357,203,326.72/491,339.52
  6. Step 6: Final answer
    x = 413,883.26

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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.