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Finding the Fourth Proportional to 409,774, 565,446.60 and 228,468.72

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Solution

The fourth proportional to 409,774, 565,446.60 and 228,468.72 is: 315,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,774 : 565,446.60 = 228,468.72 : x
  2. Step 2: Convert to fraction form
    409,774/565,446.60 = 228,468.72/x
  3. Step 3: Cross multiply
    409,774x = 565,446.60 × 228,468.72
  4. Step 4: Simplify right side
    409,774x = 129,186,860,930.35
  5. Step 5: Solve for x
    x = 129,186,860,930.35/409,774
  6. Step 6: Final answer
    x = 315,263.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.