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Finding the Fourth Proportional to 386,720, 533,679.36 and 214,649.11

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Solution

The fourth proportional to 386,720, 533,679.36 and 214,649.11 is: 296,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,720 : 533,679.36 = 214,649.11 : x
  2. Step 2: Convert to fraction form
    386,720/533,679.36 = 214,649.11/x
  3. Step 3: Cross multiply
    386,720x = 533,679.36 × 214,649.11
  4. Step 4: Simplify right side
    386,720x = 114,553,799,649.37
  5. Step 5: Solve for x
    x = 114,553,799,649.37/386,720
  6. Step 6: Final answer
    x = 296,218.97

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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.