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Finding the Fourth Proportional to 286,971.63, 396,054.87 and 164,507.83

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Solution

The fourth proportional to 286,971.63, 396,054.87 and 164,507.83 is: 227,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,971.63 : 396,054.87 = 164,507.83 : x
  2. Step 2: Convert to fraction form
    286,971.63/396,054.87 = 164,507.83/x
  3. Step 3: Cross multiply
    286,971.63x = 396,054.87 × 164,507.83
  4. Step 4: Simplify right side
    286,971.63x = 65,154,125,617.59
  5. Step 5: Solve for x
    x = 65,154,125,617.59/286,971.63
  6. Step 6: Final answer
    x = 227,040.31

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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.