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Finding the Fourth Proportional to 259,361.48, 357,911.70 and 144,643.61

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Solution

The fourth proportional to 259,361.48, 357,911.70 and 144,643.61 is: 199,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,361.48 : 357,911.70 = 144,643.61 : x
  2. Step 2: Convert to fraction form
    259,361.48/357,911.70 = 144,643.61/x
  3. Step 3: Cross multiply
    259,361.48x = 357,911.70 × 144,643.61
  4. Step 4: Simplify right side
    259,361.48x = 51,769,638,559.68
  5. Step 5: Solve for x
    x = 51,769,638,559.68/259,361.48
  6. Step 6: Final answer
    x = 199,604.20

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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.