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Finding the Fourth Proportional to 408,427.60, 612,641.40 and 221,803.60

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Solution

The fourth proportional to 408,427.60, 612,641.40 and 221,803.60 is: 332,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,427.60 : 612,641.40 = 221,803.60 : x
  2. Step 2: Convert to fraction form
    408,427.60/612,641.40 = 221,803.60/x
  3. Step 3: Cross multiply
    408,427.60x = 612,641.40 × 221,803.60
  4. Step 4: Simplify right side
    408,427.60x = 135,886,068,029.04
  5. Step 5: Solve for x
    x = 135,886,068,029.04/408,427.60
  6. Step 6: Final answer
    x = 332,705.40

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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.