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Finding the Fourth Proportional to 426,385.71, 588,408.71 and 235,395

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Solution

The fourth proportional to 426,385.71, 588,408.71 and 235,395 is: 324,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,385.71 : 588,408.71 = 235,395 : x
  2. Step 2: Convert to fraction form
    426,385.71/588,408.71 = 235,395/x
  3. Step 3: Cross multiply
    426,385.71x = 588,408.71 × 235,395
  4. Step 4: Simplify right side
    426,385.71x = 138,508,467,113.48
  5. Step 5: Solve for x
    x = 138,508,467,113.48/426,385.71
  6. Step 6: Final answer
    x = 324,843.13

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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.