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Finding the Fourth Proportional to 491,492.40, 677,910.13 and 328,066.51

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Solution

The fourth proportional to 491,492.40, 677,910.13 and 328,066.51 is: 452,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,492.40 : 677,910.13 = 328,066.51 : x
  2. Step 2: Convert to fraction form
    491,492.40/677,910.13 = 328,066.51/x
  3. Step 3: Cross multiply
    491,492.40x = 677,910.13 × 328,066.51
  4. Step 4: Simplify right side
    491,492.40x = 222,399,613,586.42
  5. Step 5: Solve for x
    x = 222,399,613,586.42/491,492.40
  6. Step 6: Final answer
    x = 452,498.58

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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.