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Finding the Fourth Proportional to 378,924.50, 522,915.86 and 209,158.68

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Solution

The fourth proportional to 378,924.50, 522,915.86 and 209,158.68 is: 288,639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,924.50 : 522,915.86 = 209,158.68 : x
  2. Step 2: Convert to fraction form
    378,924.50/522,915.86 = 209,158.68/x
  3. Step 3: Cross multiply
    378,924.50x = 522,915.86 × 209,158.68
  4. Step 4: Simplify right side
    378,924.50x = 109,372,391,028.67
  5. Step 5: Solve for x
    x = 109,372,391,028.67/378,924.50
  6. Step 6: Final answer
    x = 288,639.01

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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.