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Finding the Fourth Proportional to 491,250, 677,925 and 279,282

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Solution

The fourth proportional to 491,250, 677,925 and 279,282 is: 385,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,250 : 677,925 = 279,282 : x
  2. Step 2: Convert to fraction form
    491,250/677,925 = 279,282/x
  3. Step 3: Cross multiply
    491,250x = 677,925 × 279,282
  4. Step 4: Simplify right side
    491,250x = 189,332,249,850
  5. Step 5: Solve for x
    x = 189,332,249,850/491,250
  6. Step 6: Final answer
    x = 385,409.16

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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.