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Finding the Fourth Proportional to 285,383.60, 428,079.56 and 135,639.16

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Solution

The fourth proportional to 285,383.60, 428,079.56 and 135,639.16 is: 203,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,383.60 : 428,079.56 = 135,639.16 : x
  2. Step 2: Convert to fraction form
    285,383.60/428,079.56 = 135,639.16/x
  3. Step 3: Cross multiply
    285,383.60x = 428,079.56 × 135,639.16
  4. Step 4: Simplify right side
    285,383.60x = 58,064,351,931.57
  5. Step 5: Solve for x
    x = 58,064,351,931.57/285,383.60
  6. Step 6: Final answer
    x = 203,460.72

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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.