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Finding the Fourth Proportional to 375,497, 518,186.18 and 205,731.88

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Solution

The fourth proportional to 375,497, 518,186.18 and 205,731.88 is: 283,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,497 : 518,186.18 = 205,731.88 : x
  2. Step 2: Convert to fraction form
    375,497/518,186.18 = 205,731.88/x
  3. Step 3: Cross multiply
    375,497x = 518,186.18 × 205,731.88
  4. Step 4: Simplify right side
    375,497x = 106,607,417,001.42
  5. Step 5: Solve for x
    x = 106,607,417,001.42/375,497
  6. Step 6: Final answer
    x = 283,910.17

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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.