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Finding the Fourth Proportional to 316,343.84, 436,584.18 and 189,016.70

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Solution

The fourth proportional to 316,343.84, 436,584.18 and 189,016.70 is: 260,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,343.84 : 436,584.18 = 189,016.70 : x
  2. Step 2: Convert to fraction form
    316,343.84/436,584.18 = 189,016.70/x
  3. Step 3: Cross multiply
    316,343.84x = 436,584.18 × 189,016.70
  4. Step 4: Simplify right side
    316,343.84x = 82,521,700,975.81
  5. Step 5: Solve for x
    x = 82,521,700,975.81/316,343.84
  6. Step 6: Final answer
    x = 260,860.78

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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.