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Finding the Fourth Proportional to 614,763.84, 921,924 and 259,805.28

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Solution

The fourth proportional to 614,763.84, 921,924 and 259,805.28 is: 389,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,763.84 : 921,924 = 259,805.28 : x
  2. Step 2: Convert to fraction form
    614,763.84/921,924 = 259,805.28/x
  3. Step 3: Cross multiply
    614,763.84x = 921,924 × 259,805.28
  4. Step 4: Simplify right side
    614,763.84x = 239,520,722,958.72
  5. Step 5: Solve for x
    x = 239,520,722,958.72/614,763.84
  6. Step 6: Final answer
    x = 389,614.20

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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.