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Finding the Fourth Proportional to 882,820.80, 1,324,922.40 and 409,564.80

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Solution

The fourth proportional to 882,820.80, 1,324,922.40 and 409,564.80 is: 614,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,820.80 : 1,324,922.40 = 409,564.80 : x
  2. Step 2: Convert to fraction form
    882,820.80/1,324,922.40 = 409,564.80/x
  3. Step 3: Cross multiply
    882,820.80x = 1,324,922.40 × 409,564.80
  4. Step 4: Simplify right side
    882,820.80x = 542,641,577,771.52
  5. Step 5: Solve for x
    x = 542,641,577,771.52/882,820.80
  6. Step 6: Final answer
    x = 614,667.87

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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.