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Finding the Fourth Proportional to 269,534.80, 404,302.20 and 256,412.80

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Solution

The fourth proportional to 269,534.80, 404,302.20 and 256,412.80 is: 384,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,534.80 : 404,302.20 = 256,412.80 : x
  2. Step 2: Convert to fraction form
    269,534.80/404,302.20 = 256,412.80/x
  3. Step 3: Cross multiply
    269,534.80x = 404,302.20 × 256,412.80
  4. Step 4: Simplify right side
    269,534.80x = 103,668,259,148.16
  5. Step 5: Solve for x
    x = 103,668,259,148.16/269,534.80
  6. Step 6: Final answer
    x = 384,619.20

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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.