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Finding the Fourth Proportional to 489,314.80, 733,972.20 and 472,207.60

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Solution

The fourth proportional to 489,314.80, 733,972.20 and 472,207.60 is: 708,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,314.80 : 733,972.20 = 472,207.60 : x
  2. Step 2: Convert to fraction form
    489,314.80/733,972.20 = 472,207.60/x
  3. Step 3: Cross multiply
    489,314.80x = 733,972.20 × 472,207.60
  4. Step 4: Simplify right side
    489,314.80x = 346,587,251,028.72
  5. Step 5: Solve for x
    x = 346,587,251,028.72/489,314.80
  6. Step 6: Final answer
    x = 708,311.40

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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.