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Finding the Fourth Proportional to 400,809, 601,305.66 and 138,153

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Solution

The fourth proportional to 400,809, 601,305.66 and 138,153 is: 207,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,809 : 601,305.66 = 138,153 : x
  2. Step 2: Convert to fraction form
    400,809/601,305.66 = 138,153/x
  3. Step 3: Cross multiply
    400,809x = 601,305.66 × 138,153
  4. Step 4: Simplify right side
    400,809x = 83,072,180,845.98
  5. Step 5: Solve for x
    x = 83,072,180,845.98/400,809
  6. Step 6: Final answer
    x = 207,261.27

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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.