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Finding the Fourth Proportional to 286,334.39, 395,142.09 and 159,010

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Solution

The fourth proportional to 286,334.39, 395,142.09 and 159,010 is: 219,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,334.39 : 395,142.09 = 159,010 : x
  2. Step 2: Convert to fraction form
    286,334.39/395,142.09 = 159,010/x
  3. Step 3: Cross multiply
    286,334.39x = 395,142.09 × 159,010
  4. Step 4: Simplify right side
    286,334.39x = 62,831,543,730.90
  5. Step 5: Solve for x
    x = 62,831,543,730.90/286,334.39
  6. Step 6: Final answer
    x = 219,434.15

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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.