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Finding the Fourth Proportional to 611,952.81, 844,252.97 and 353,782.25

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Solution

The fourth proportional to 611,952.81, 844,252.97 and 353,782.25 is: 488,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,952.81 : 844,252.97 = 353,782.25 : x
  2. Step 2: Convert to fraction form
    611,952.81/844,252.97 = 353,782.25/x
  3. Step 3: Cross multiply
    611,952.81x = 844,252.97 × 353,782.25
  4. Step 4: Simplify right side
    611,952.81x = 298,681,709,305.61
  5. Step 5: Solve for x
    x = 298,681,709,305.61/611,952.81
  6. Step 6: Final answer
    x = 488,079.64

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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.