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Finding the Fourth Proportional to 304,624.53, 420,322.23 and 191,381.67

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Solution

The fourth proportional to 304,624.53, 420,322.23 and 191,381.67 is: 264,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,624.53 : 420,322.23 = 191,381.67 : x
  2. Step 2: Convert to fraction form
    304,624.53/420,322.23 = 191,381.67/x
  3. Step 3: Cross multiply
    304,624.53x = 420,322.23 × 191,381.67
  4. Step 4: Simplify right side
    304,624.53x = 80,441,970,315.52
  5. Step 5: Solve for x
    x = 80,441,970,315.52/304,624.53
  6. Step 6: Final answer
    x = 264,069.25

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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.