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Finding the Fourth Proportional to 375,341.71, 517,971.57 and 205,575.82

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Solution

The fourth proportional to 375,341.71, 517,971.57 and 205,575.82 is: 283,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,341.71 : 517,971.57 = 205,575.82 : x
  2. Step 2: Convert to fraction form
    375,341.71/517,971.57 = 205,575.82/x
  3. Step 3: Cross multiply
    375,341.71x = 517,971.57 × 205,575.82
  4. Step 4: Simplify right side
    375,341.71x = 106,482,430,239.44
  5. Step 5: Solve for x
    x = 106,482,430,239.44/375,341.71
  6. Step 6: Final answer
    x = 283,694.64

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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.