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Finding the Fourth Proportional to 402,261.85, 603,392.78 and 121,793.05

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Solution

The fourth proportional to 402,261.85, 603,392.78 and 121,793.05 is: 182,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,261.85 : 603,392.78 = 121,793.05 : x
  2. Step 2: Convert to fraction form
    402,261.85/603,392.78 = 121,793.05/x
  3. Step 3: Cross multiply
    402,261.85x = 603,392.78 × 121,793.05
  4. Step 4: Simplify right side
    402,261.85x = 73,489,046,415.21
  5. Step 5: Solve for x
    x = 73,489,046,415.21/402,261.85
  6. Step 6: Final answer
    x = 182,689.58

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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.