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Finding the Fourth Proportional to 375,123.30, 517,669.29 and 205,355.94

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Solution

The fourth proportional to 375,123.30, 517,669.29 and 205,355.94 is: 283,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,123.30 : 517,669.29 = 205,355.94 : x
  2. Step 2: Convert to fraction form
    375,123.30/517,669.29 = 205,355.94/x
  3. Step 3: Cross multiply
    375,123.30x = 517,669.29 × 205,355.94
  4. Step 4: Simplify right side
    375,123.30x = 106,306,463,657.08
  5. Step 5: Solve for x
    x = 106,306,463,657.08/375,123.30
  6. Step 6: Final answer
    x = 283,390.72

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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.