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Finding the Fourth Proportional to 286,098.48, 428,977.42 and 96,512.21

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Solution

The fourth proportional to 286,098.48, 428,977.42 and 96,512.21 is: 144,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,098.48 : 428,977.42 = 96,512.21 : x
  2. Step 2: Convert to fraction form
    286,098.48/428,977.42 = 96,512.21/x
  3. Step 3: Cross multiply
    286,098.48x = 428,977.42 × 96,512.21
  4. Step 4: Simplify right side
    286,098.48x = 41,401,558,066.80
  5. Step 5: Solve for x
    x = 41,401,558,066.80/286,098.48
  6. Step 6: Final answer
    x = 144,710.86

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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.