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Finding the Fourth Proportional to 768,648.62, 1,152,773.98 and 228,778.16

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Solution

The fourth proportional to 768,648.62, 1,152,773.98 and 228,778.16 is: 343,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,648.62 : 1,152,773.98 = 228,778.16 : x
  2. Step 2: Convert to fraction form
    768,648.62/1,152,773.98 = 228,778.16/x
  3. Step 3: Cross multiply
    768,648.62x = 1,152,773.98 × 228,778.16
  4. Step 4: Simplify right side
    768,648.62x = 263,729,503,704.46
  5. Step 5: Solve for x
    x = 263,729,503,704.46/768,648.62
  6. Step 6: Final answer
    x = 343,108.02

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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.