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Finding the Fourth Proportional to 614,002.87, 921,102.72 and 259,069.18

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Solution

The fourth proportional to 614,002.87, 921,102.72 and 259,069.18 is: 388,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,002.87 : 921,102.72 = 259,069.18 : x
  2. Step 2: Convert to fraction form
    614,002.87/921,102.72 = 259,069.18/x
  3. Step 3: Cross multiply
    614,002.87x = 921,102.72 × 259,069.18
  4. Step 4: Simplify right side
    614,002.87x = 238,629,326,366.17
  5. Step 5: Solve for x
    x = 238,629,326,366.17/614,002.87
  6. Step 6: Final answer
    x = 388,645.29

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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.