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Finding the Fourth Proportional to 489,416.54, 733,907.85 and 261,656.90

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Solution

The fourth proportional to 489,416.54, 733,907.85 and 261,656.90 is: 392,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,416.54 : 733,907.85 = 261,656.90 : x
  2. Step 2: Convert to fraction form
    489,416.54/733,907.85 = 261,656.90/x
  3. Step 3: Cross multiply
    489,416.54x = 733,907.85 × 261,656.90
  4. Step 4: Simplify right side
    489,416.54x = 192,032,049,247.13
  5. Step 5: Solve for x
    x = 192,032,049,247.13/489,416.54
  6. Step 6: Final answer
    x = 392,369.35

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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.