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Finding the Fourth Proportional to 304,978.59, 420,872.88 and 169,014.75

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Solution

The fourth proportional to 304,978.59, 420,872.88 and 169,014.75 is: 233,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,978.59 : 420,872.88 = 169,014.75 : x
  2. Step 2: Convert to fraction form
    304,978.59/420,872.88 = 169,014.75/x
  3. Step 3: Cross multiply
    304,978.59x = 420,872.88 × 169,014.75
  4. Step 4: Simplify right side
    304,978.59x = 71,133,724,594.98
  5. Step 5: Solve for x
    x = 71,133,724,594.98/304,978.59
  6. Step 6: Final answer
    x = 233,241.70

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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.