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Finding the Fourth Proportional to 305,630.20, 421,800.78 and 178,298.20

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Solution

The fourth proportional to 305,630.20, 421,800.78 and 178,298.20 is: 246,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,630.20 : 421,800.78 = 178,298.20 : x
  2. Step 2: Convert to fraction form
    305,630.20/421,800.78 = 178,298.20/x
  3. Step 3: Cross multiply
    305,630.20x = 421,800.78 × 178,298.20
  4. Step 4: Simplify right side
    305,630.20x = 75,206,319,832.60
  5. Step 5: Solve for x
    x = 75,206,319,832.60/305,630.20
  6. Step 6: Final answer
    x = 246,069.66

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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.