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Finding the Fourth Proportional to 285,384.40, 428,080.78 and 135,639.97

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Solution

The fourth proportional to 285,384.40, 428,080.78 and 135,639.97 is: 203,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,384.40 : 428,080.78 = 135,639.97 : x
  2. Step 2: Convert to fraction form
    285,384.40/428,080.78 = 135,639.97/x
  3. Step 3: Cross multiply
    285,384.40x = 428,080.78 × 135,639.97
  4. Step 4: Simplify right side
    285,384.40x = 58,064,863,256.12
  5. Step 5: Solve for x
    x = 58,064,863,256.12/285,384.40
  6. Step 6: Final answer
    x = 203,461.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.