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Finding the Fourth Proportional to 375,441.66, 518,122.68 and 205,675.77

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Solution

The fourth proportional to 375,441.66, 518,122.68 and 205,675.77 is: 283,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,441.66 : 518,122.68 = 205,675.77 : x
  2. Step 2: Convert to fraction form
    375,441.66/518,122.68 = 205,675.77/x
  3. Step 3: Cross multiply
    375,441.66x = 518,122.68 × 205,675.77
  4. Step 4: Simplify right side
    375,441.66x = 106,565,281,163.46
  5. Step 5: Solve for x
    x = 106,565,281,163.46/375,441.66
  6. Step 6: Final answer
    x = 283,839.79

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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.