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Finding the Fourth Proportional to 375,408, 518,063.04 and 205,642.80

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Solution

The fourth proportional to 375,408, 518,063.04 and 205,642.80 is: 283,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,408 : 518,063.04 = 205,642.80 : x
  2. Step 2: Convert to fraction form
    375,408/518,063.04 = 205,642.80/x
  3. Step 3: Cross multiply
    375,408x = 518,063.04 × 205,642.80
  4. Step 4: Simplify right side
    375,408x = 106,535,934,122.11
  5. Step 5: Solve for x
    x = 106,535,934,122.11/375,408
  6. Step 6: Final answer
    x = 283,787.06

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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.