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Finding the Fourth Proportional to 379,468.32, 523,721.88 and 228,562.08

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Solution

The fourth proportional to 379,468.32, 523,721.88 and 228,562.08 is: 315,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,468.32 : 523,721.88 = 228,562.08 : x
  2. Step 2: Convert to fraction form
    379,468.32/523,721.88 = 228,562.08/x
  3. Step 3: Cross multiply
    379,468.32x = 523,721.88 × 228,562.08
  4. Step 4: Simplify right side
    379,468.32x = 119,702,962,234.31
  5. Step 5: Solve for x
    x = 119,702,962,234.31/379,468.32
  6. Step 6: Final answer
    x = 315,449.16

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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.