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Finding the Fourth Proportional to 379,560, 523,792.80 and 228,688.32

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Solution

The fourth proportional to 379,560, 523,792.80 and 228,688.32 is: 315,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,560 : 523,792.80 = 228,688.32 : x
  2. Step 2: Convert to fraction form
    379,560/523,792.80 = 228,688.32/x
  3. Step 3: Cross multiply
    379,560x = 523,792.80 × 228,688.32
  4. Step 4: Simplify right side
    379,560x = 119,785,295,460.10
  5. Step 5: Solve for x
    x = 119,785,295,460.10/379,560
  6. Step 6: Final answer
    x = 315,589.88

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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.