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Finding the Fourth Proportional to 491,195.88, 677,933.16 and 284,434.20

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Solution

The fourth proportional to 491,195.88, 677,933.16 and 284,434.20 is: 392,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,195.88 : 677,933.16 = 284,434.20 : x
  2. Step 2: Convert to fraction form
    491,195.88/677,933.16 = 284,434.20/x
  3. Step 3: Cross multiply
    491,195.88x = 677,933.16 × 284,434.20
  4. Step 4: Simplify right side
    491,195.88x = 192,827,376,018.07
  5. Step 5: Solve for x
    x = 192,827,376,018.07/491,195.88
  6. Step 6: Final answer
    x = 392,567.17

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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.