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Finding the Fourth Proportional to 386,908.30, 533,929.08 and 217,138.78

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Solution

The fourth proportional to 386,908.30, 533,929.08 and 217,138.78 is: 299,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,908.30 : 533,929.08 = 217,138.78 : x
  2. Step 2: Convert to fraction form
    386,908.30/533,929.08 = 217,138.78/x
  3. Step 3: Cross multiply
    386,908.30x = 533,929.08 × 217,138.78
  4. Step 4: Simplify right side
    386,908.30x = 115,936,709,037.72
  5. Step 5: Solve for x
    x = 115,936,709,037.72/386,908.30
  6. Step 6: Final answer
    x = 299,649.06

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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.