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Finding the Fourth Proportional to 258,170.63, 356,308.88 and 144,993.38

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Solution

The fourth proportional to 258,170.63, 356,308.88 and 144,993.38 is: 200,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,170.63 : 356,308.88 = 144,993.38 : x
  2. Step 2: Convert to fraction form
    258,170.63/356,308.88 = 144,993.38/x
  3. Step 3: Cross multiply
    258,170.63x = 356,308.88 × 144,993.38
  4. Step 4: Simplify right side
    258,170.63x = 51,662,426,328.70
  5. Step 5: Solve for x
    x = 51,662,426,328.70/258,170.63
  6. Step 6: Final answer
    x = 200,109.62

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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.