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Finding the Fourth Proportional to 409,808.16, 614,945.52 and 269,632.80

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Solution

The fourth proportional to 409,808.16, 614,945.52 and 269,632.80 is: 404,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,808.16 : 614,945.52 = 269,632.80 : x
  2. Step 2: Convert to fraction form
    409,808.16/614,945.52 = 269,632.80/x
  3. Step 3: Cross multiply
    409,808.16x = 614,945.52 × 269,632.80
  4. Step 4: Simplify right side
    409,808.16x = 165,809,482,405.06
  5. Step 5: Solve for x
    x = 165,809,482,405.06/409,808.16
  6. Step 6: Final answer
    x = 404,602.69

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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.