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Finding the Fourth Proportional to 375,120.70, 517,666.60 and 205,354.83

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Solution

The fourth proportional to 375,120.70, 517,666.60 and 205,354.83 is: 283,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,120.70 : 517,666.60 = 205,354.83 : x
  2. Step 2: Convert to fraction form
    375,120.70/517,666.60 = 205,354.83/x
  3. Step 3: Cross multiply
    375,120.70x = 517,666.60 × 205,354.83
  4. Step 4: Simplify right side
    375,120.70x = 106,305,334,770.63
  5. Step 5: Solve for x
    x = 106,305,334,770.63/375,120.70
  6. Step 6: Final answer
    x = 283,389.68

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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.