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Finding the Fourth Proportional to 258,708.80, 357,017.64 and 145,531.56

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Solution

The fourth proportional to 258,708.80, 357,017.64 and 145,531.56 is: 200,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,708.80 : 357,017.64 = 145,531.56 : x
  2. Step 2: Convert to fraction form
    258,708.80/357,017.64 = 145,531.56/x
  3. Step 3: Cross multiply
    258,708.80x = 357,017.64 × 145,531.56
  4. Step 4: Simplify right side
    258,708.80x = 51,957,334,096.72
  5. Step 5: Solve for x
    x = 51,957,334,096.72/258,708.80
  6. Step 6: Final answer
    x = 200,833.27

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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.