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Finding the Fourth Proportional to 375,156.45, 517,715.90 and 205,390.57

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Solution

The fourth proportional to 375,156.45, 517,715.90 and 205,390.57 is: 283,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,156.45 : 517,715.90 = 205,390.57 : x
  2. Step 2: Convert to fraction form
    375,156.45/517,715.90 = 205,390.57/x
  3. Step 3: Cross multiply
    375,156.45x = 517,715.90 × 205,390.57
  4. Step 4: Simplify right side
    375,156.45x = 106,333,963,799.06
  5. Step 5: Solve for x
    x = 106,333,963,799.06/375,156.45
  6. Step 6: Final answer
    x = 283,438.99

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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.