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Finding the Fourth Proportional to 309,044.64, 463,530.96 and 84,396

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Solution

The fourth proportional to 309,044.64, 463,530.96 and 84,396 is: 126,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,044.64 : 463,530.96 = 84,396 : x
  2. Step 2: Convert to fraction form
    309,044.64/463,530.96 = 84,396/x
  3. Step 3: Cross multiply
    309,044.64x = 463,530.96 × 84,396
  4. Step 4: Simplify right side
    309,044.64x = 39,120,158,900.16
  5. Step 5: Solve for x
    x = 39,120,158,900.16/309,044.64
  6. Step 6: Final answer
    x = 126,584.17

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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.