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Finding the Fourth Proportional to 259,407, 357,987.13 and 146,229.75

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Solution

The fourth proportional to 259,407, 357,987.13 and 146,229.75 is: 201,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,407 : 357,987.13 = 146,229.75 : x
  2. Step 2: Convert to fraction form
    259,407/357,987.13 = 146,229.75/x
  3. Step 3: Cross multiply
    259,407x = 357,987.13 × 146,229.75
  4. Step 4: Simplify right side
    259,407x = 52,348,368,157.54
  5. Step 5: Solve for x
    x = 52,348,368,157.54/259,407
  6. Step 6: Final answer
    x = 201,800.14

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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.