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Finding the Fourth Proportional to 258,308.96, 356,470.65 and 142,027.34

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Solution

The fourth proportional to 258,308.96, 356,470.65 and 142,027.34 is: 196,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,308.96 : 356,470.65 = 142,027.34 : x
  2. Step 2: Convert to fraction form
    258,308.96/356,470.65 = 142,027.34/x
  3. Step 3: Cross multiply
    258,308.96x = 356,470.65 × 142,027.34
  4. Step 4: Simplify right side
    258,308.96x = 50,628,576,425.22
  5. Step 5: Solve for x
    x = 50,628,576,425.22/258,308.96
  6. Step 6: Final answer
    x = 196,000.08

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1.5x scale

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.