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Finding the Fourth Proportional to 387,422.82, 579,434.54 and 345,027.20

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Solution

The fourth proportional to 387,422.82, 579,434.54 and 345,027.20 is: 516,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,422.82 : 579,434.54 = 345,027.20 : x
  2. Step 2: Convert to fraction form
    387,422.82/579,434.54 = 345,027.20/x
  3. Step 3: Cross multiply
    387,422.82x = 579,434.54 × 345,027.20
  4. Step 4: Simplify right side
    387,422.82x = 199,920,672,297.18
  5. Step 5: Solve for x
    x = 199,920,672,297.18/387,422.82
  6. Step 6: Final answer
    x = 516,027.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.