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Finding the Fourth Proportional to 614,708.82, 921,841.56 and 259,750.35

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Solution

The fourth proportional to 614,708.82, 921,841.56 and 259,750.35 is: 389,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,708.82 : 921,841.56 = 259,750.35 : x
  2. Step 2: Convert to fraction form
    614,708.82/921,841.56 = 259,750.35/x
  3. Step 3: Cross multiply
    614,708.82x = 921,841.56 × 259,750.35
  4. Step 4: Simplify right side
    614,708.82x = 239,448,667,854.55
  5. Step 5: Solve for x
    x = 239,448,667,854.55/614,708.82
  6. Step 6: Final answer
    x = 389,531.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.