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Finding the Fourth Proportional to 405,363.42, 608,132.16 and 121,076.46

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Solution

The fourth proportional to 405,363.42, 608,132.16 and 121,076.46 is: 181,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,363.42 : 608,132.16 = 121,076.46 : x
  2. Step 2: Convert to fraction form
    405,363.42/608,132.16 = 121,076.46/x
  3. Step 3: Cross multiply
    405,363.42x = 608,132.16 × 121,076.46
  4. Step 4: Simplify right side
    405,363.42x = 73,630,489,144.95
  5. Step 5: Solve for x
    x = 73,630,489,144.95/405,363.42
  6. Step 6: Final answer
    x = 181,640.68

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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.