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Finding the Fourth Proportional to 522,792.64, 784,226.45 and 218,880.97

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Solution

The fourth proportional to 522,792.64, 784,226.45 and 218,880.97 is: 328,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,792.64 : 784,226.45 = 218,880.97 : x
  2. Step 2: Convert to fraction form
    522,792.64/784,226.45 = 218,880.97/x
  3. Step 3: Cross multiply
    522,792.64x = 784,226.45 × 218,880.97
  4. Step 4: Simplify right side
    522,792.64x = 171,652,247,215.42
  5. Step 5: Solve for x
    x = 171,652,247,215.42/522,792.64
  6. Step 6: Final answer
    x = 328,337.15

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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.