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Finding the Fourth Proportional to 375,502.50, 518,205.60 and 205,747.56

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Solution

The fourth proportional to 375,502.50, 518,205.60 and 205,747.56 is: 283,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,502.50 : 518,205.60 = 205,747.56 : x
  2. Step 2: Convert to fraction form
    375,502.50/518,205.60 = 205,747.56/x
  3. Step 3: Cross multiply
    375,502.50x = 518,205.60 × 205,747.56
  4. Step 4: Simplify right side
    375,502.50x = 106,619,537,778.34
  5. Step 5: Solve for x
    x = 106,619,537,778.34/375,502.50
  6. Step 6: Final answer
    x = 283,938.29

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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.