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Finding the Fourth Proportional to 491,758.02, 678,642.84 and 287,827.92

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Solution

The fourth proportional to 491,758.02, 678,642.84 and 287,827.92 is: 397,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,758.02 : 678,642.84 = 287,827.92 : x
  2. Step 2: Convert to fraction form
    491,758.02/678,642.84 = 287,827.92/x
  3. Step 3: Cross multiply
    491,758.02x = 678,642.84 × 287,827.92
  4. Step 4: Simplify right side
    491,758.02x = 195,332,357,060.09
  5. Step 5: Solve for x
    x = 195,332,357,060.09/491,758.02
  6. Step 6: Final answer
    x = 397,212.35

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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.