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Finding the Fourth Proportional to 491,252, 677,927.76 and 279,284

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Solution

The fourth proportional to 491,252, 677,927.76 and 279,284 is: 385,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,252 : 677,927.76 = 279,284 : x
  2. Step 2: Convert to fraction form
    491,252/677,927.76 = 279,284/x
  3. Step 3: Cross multiply
    491,252x = 677,927.76 × 279,284
  4. Step 4: Simplify right side
    491,252x = 189,334,376,523.84
  5. Step 5: Solve for x
    x = 189,334,376,523.84/491,252
  6. Step 6: Final answer
    x = 385,411.92

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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.