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Finding the Fourth Proportional to 269,823.40, 404,735.10 and 258,305.20

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Solution

The fourth proportional to 269,823.40, 404,735.10 and 258,305.20 is: 387,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,823.40 : 404,735.10 = 258,305.20 : x
  2. Step 2: Convert to fraction form
    269,823.40/404,735.10 = 258,305.20/x
  3. Step 3: Cross multiply
    269,823.40x = 404,735.10 × 258,305.20
  4. Step 4: Simplify right side
    269,823.40x = 104,545,180,952.52
  5. Step 5: Solve for x
    x = 104,545,180,952.52/269,823.40
  6. Step 6: Final answer
    x = 387,457.80

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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.