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Finding the Fourth Proportional to 400,947.84, 553,210.56 and 222,099.84

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Solution

The fourth proportional to 400,947.84, 553,210.56 and 222,099.84 is: 306,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,947.84 : 553,210.56 = 222,099.84 : x
  2. Step 2: Convert to fraction form
    400,947.84/553,210.56 = 222,099.84/x
  3. Step 3: Cross multiply
    400,947.84x = 553,210.56 × 222,099.84
  4. Step 4: Simplify right side
    400,947.84x = 122,867,976,862.31
  5. Step 5: Solve for x
    x = 122,867,976,862.31/400,947.84
  6. Step 6: Final answer
    x = 306,443.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.