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Finding the Fourth Proportional to 286,342.61, 395,164.73 and 159,019.25

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Solution

The fourth proportional to 286,342.61, 395,164.73 and 159,019.25 is: 219,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,342.61 : 395,164.73 = 159,019.25 : x
  2. Step 2: Convert to fraction form
    286,342.61/395,164.73 = 159,019.25/x
  3. Step 3: Cross multiply
    286,342.61x = 395,164.73 × 159,019.25
  4. Step 4: Simplify right side
    286,342.61x = 62,838,798,195.96
  5. Step 5: Solve for x
    x = 62,838,798,195.96/286,342.61
  6. Step 6: Final answer
    x = 219,453.19

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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.