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Finding the Fourth Proportional to 375,408.50, 518,063.73 and 205,643.30

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Solution

The fourth proportional to 375,408.50, 518,063.73 and 205,643.30 is: 283,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,408.50 : 518,063.73 = 205,643.30 : x
  2. Step 2: Convert to fraction form
    375,408.50/518,063.73 = 205,643.30/x
  3. Step 3: Cross multiply
    375,408.50x = 518,063.73 × 205,643.30
  4. Step 4: Simplify right side
    375,408.50x = 106,536,335,047.51
  5. Step 5: Solve for x
    x = 106,536,335,047.51/375,408.50
  6. Step 6: Final answer
    x = 283,787.75

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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.