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Finding the Fourth Proportional to 285,311.79, 393,725.46 and 157,984.65

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Solution

The fourth proportional to 285,311.79, 393,725.46 and 157,984.65 is: 218,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.79 : 393,725.46 = 157,984.65 : x
  2. Step 2: Convert to fraction form
    285,311.79/393,725.46 = 157,984.65/x
  3. Step 3: Cross multiply
    285,311.79x = 393,725.46 × 157,984.65
  4. Step 4: Simplify right side
    285,311.79x = 62,202,578,994.19
  5. Step 5: Solve for x
    x = 62,202,578,994.19/285,311.79
  6. Step 6: Final answer
    x = 218,016.15

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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.