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Finding the Fourth Proportional to 491,253, 677,929.14 and 279,285

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Solution

The fourth proportional to 491,253, 677,929.14 and 279,285 is: 385,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,253 : 677,929.14 = 279,285 : x
  2. Step 2: Convert to fraction form
    491,253/677,929.14 = 279,285/x
  3. Step 3: Cross multiply
    491,253x = 677,929.14 × 279,285
  4. Step 4: Simplify right side
    491,253x = 189,335,439,864.90
  5. Step 5: Solve for x
    x = 189,335,439,864.90/491,253
  6. Step 6: Final answer
    x = 385,413.30

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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.