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Finding the Fourth Proportional to 403,427.20, 605,140.80 and 261,709.60

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Solution

The fourth proportional to 403,427.20, 605,140.80 and 261,709.60 is: 392,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,427.20 : 605,140.80 = 261,709.60 : x
  2. Step 2: Convert to fraction form
    403,427.20/605,140.80 = 261,709.60/x
  3. Step 3: Cross multiply
    403,427.20x = 605,140.80 × 261,709.60
  4. Step 4: Simplify right side
    403,427.20x = 158,371,156,711.68
  5. Step 5: Solve for x
    x = 158,371,156,711.68/403,427.20
  6. Step 6: Final answer
    x = 392,564.40

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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.