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Finding the Fourth Proportional to 304,624.56, 420,381.84 and 170,488.56

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Solution

The fourth proportional to 304,624.56, 420,381.84 and 170,488.56 is: 235,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,624.56 : 420,381.84 = 170,488.56 : x
  2. Step 2: Convert to fraction form
    304,624.56/420,381.84 = 170,488.56/x
  3. Step 3: Cross multiply
    304,624.56x = 420,381.84 × 170,488.56
  4. Step 4: Simplify right side
    304,624.56x = 71,670,294,551.75
  5. Step 5: Solve for x
    x = 71,670,294,551.75/304,624.56
  6. Step 6: Final answer
    x = 235,274.18

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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.