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Finding the Fourth Proportional to 375,480.98, 518,176.97 and 205,715.24

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Solution

The fourth proportional to 375,480.98, 518,176.97 and 205,715.24 is: 283,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,480.98 : 518,176.97 = 205,715.24 : x
  2. Step 2: Convert to fraction form
    375,480.98/518,176.97 = 205,715.24/x
  3. Step 3: Cross multiply
    375,480.98x = 518,176.97 × 205,715.24
  4. Step 4: Simplify right side
    375,480.98x = 106,596,896,126.56
  5. Step 5: Solve for x
    x = 106,596,896,126.56/375,480.98
  6. Step 6: Final answer
    x = 283,894.27

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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.