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Finding the Fourth Proportional to 279,589.95, 418,970.21 and 205,355.07

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Solution

The fourth proportional to 279,589.95, 418,970.21 and 205,355.07 is: 307,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,589.95 : 418,970.21 = 205,355.07 : x
  2. Step 2: Convert to fraction form
    279,589.95/418,970.21 = 205,355.07/x
  3. Step 3: Cross multiply
    279,589.95x = 418,970.21 × 205,355.07
  4. Step 4: Simplify right side
    279,589.95x = 86,037,655,775.69
  5. Step 5: Solve for x
    x = 86,037,655,775.69/279,589.95
  6. Step 6: Final answer
    x = 307,728.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.