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Finding the Fourth Proportional to 375,343.80, 517,969.10 and 214,249.88

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Solution

The fourth proportional to 375,343.80, 517,969.10 and 214,249.88 is: 295,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,343.80 : 517,969.10 = 214,249.88 : x
  2. Step 2: Convert to fraction form
    375,343.80/517,969.10 = 214,249.88/x
  3. Step 3: Cross multiply
    375,343.80x = 517,969.10 × 214,249.88
  4. Step 4: Simplify right side
    375,343.80x = 110,974,817,518.71
  5. Step 5: Solve for x
    x = 110,974,817,518.71/375,343.80
  6. Step 6: Final answer
    x = 295,661.78

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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.