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Finding the Fourth Proportional to 378,583.47, 522,445.56 and 217,469.70

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Solution

The fourth proportional to 378,583.47, 522,445.56 and 217,469.70 is: 300,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,583.47 : 522,445.56 = 217,469.70 : x
  2. Step 2: Convert to fraction form
    378,583.47/522,445.56 = 217,469.70/x
  3. Step 3: Cross multiply
    378,583.47x = 522,445.56 × 217,469.70
  4. Step 4: Simplify right side
    378,583.47x = 113,616,079,199.53
  5. Step 5: Solve for x
    x = 113,616,079,199.53/378,583.47
  6. Step 6: Final answer
    x = 300,108.40

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1.5x scale

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.