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Finding the Fourth Proportional to 491,833.95, 678,765.60 and 274,057.08

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Solution

The fourth proportional to 491,833.95, 678,765.60 and 274,057.08 is: 378,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,833.95 : 678,765.60 = 274,057.08 : x
  2. Step 2: Convert to fraction form
    491,833.95/678,765.60 = 274,057.08/x
  3. Step 3: Cross multiply
    491,833.95x = 678,765.60 × 274,057.08
  4. Step 4: Simplify right side
    491,833.95x = 186,020,518,340.45
  5. Step 5: Solve for x
    x = 186,020,518,340.45/491,833.95
  6. Step 6: Final answer
    x = 378,218.13

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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.