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Finding the Fourth Proportional to 285,908.60, 428,753.40 and 96,318.02

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Solution

The fourth proportional to 285,908.60, 428,753.40 and 96,318.02 is: 144,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,908.60 : 428,753.40 = 96,318.02 : x
  2. Step 2: Convert to fraction form
    285,908.60/428,753.40 = 96,318.02/x
  3. Step 3: Cross multiply
    285,908.60x = 428,753.40 × 96,318.02
  4. Step 4: Simplify right side
    285,908.60x = 41,296,678,556.27
  5. Step 5: Solve for x
    x = 41,296,678,556.27/285,908.60
  6. Step 6: Final answer
    x = 144,440.14

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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.