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Finding the Fourth Proportional to 285,624.32, 393,706.86 and 225,097.88

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Solution

The fourth proportional to 285,624.32, 393,706.86 and 225,097.88 is: 310,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,624.32 : 393,706.86 = 225,097.88 : x
  2. Step 2: Convert to fraction form
    285,624.32/393,706.86 = 225,097.88/x
  3. Step 3: Cross multiply
    285,624.32x = 393,706.86 × 225,097.88
  4. Step 4: Simplify right side
    285,624.32x = 88,622,579,527.46
  5. Step 5: Solve for x
    x = 88,622,579,527.46/285,624.32
  6. Step 6: Final answer
    x = 310,276.73

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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.