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Finding the Fourth Proportional to 491,825.49, 678,753.90 and 274,048.59

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Solution

The fourth proportional to 491,825.49, 678,753.90 and 274,048.59 is: 378,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,825.49 : 678,753.90 = 274,048.59 : x
  2. Step 2: Convert to fraction form
    491,825.49/678,753.90 = 274,048.59/x
  3. Step 3: Cross multiply
    491,825.49x = 678,753.90 × 274,048.59
  4. Step 4: Simplify right side
    491,825.49x = 186,011,549,252.00
  5. Step 5: Solve for x
    x = 186,011,549,252.00/491,825.49
  6. Step 6: Final answer
    x = 378,206.40

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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.