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Finding the Fourth Proportional to 259,290, 357,820.20 and 146,116.80

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Solution

The fourth proportional to 259,290, 357,820.20 and 146,116.80 is: 201,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,290 : 357,820.20 = 146,116.80 : x
  2. Step 2: Convert to fraction form
    259,290/357,820.20 = 146,116.80/x
  3. Step 3: Cross multiply
    259,290x = 357,820.20 × 146,116.80
  4. Step 4: Simplify right side
    259,290x = 52,283,542,599.36
  5. Step 5: Solve for x
    x = 52,283,542,599.36/259,290
  6. Step 6: Final answer
    x = 201,641.18

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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.