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Finding the Fourth Proportional to 305,616.40, 458,424.60 and 221,635.60

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Solution

The fourth proportional to 305,616.40, 458,424.60 and 221,635.60 is: 332,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,616.40 : 458,424.60 = 221,635.60 : x
  2. Step 2: Convert to fraction form
    305,616.40/458,424.60 = 221,635.60/x
  3. Step 3: Cross multiply
    305,616.40x = 458,424.60 × 221,635.60
  4. Step 4: Simplify right side
    305,616.40x = 101,603,211,275.76
  5. Step 5: Solve for x
    x = 101,603,211,275.76/305,616.40
  6. Step 6: Final answer
    x = 332,453.40

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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.