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Finding the Fourth Proportional to 395,832, 546,282.72 and 217,018.56

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Solution

The fourth proportional to 395,832, 546,282.72 and 217,018.56 is: 299,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,832 : 546,282.72 = 217,018.56 : x
  2. Step 2: Convert to fraction form
    395,832/546,282.72 = 217,018.56/x
  3. Step 3: Cross multiply
    395,832x = 546,282.72 × 217,018.56
  4. Step 4: Simplify right side
    395,832x = 118,553,489,247.28
  5. Step 5: Solve for x
    x = 118,553,489,247.28/395,832
  6. Step 6: Final answer
    x = 299,504.56

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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.