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Finding the Fourth Proportional to 375,211.32, 517,786.50 and 205,445.46

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Solution

The fourth proportional to 375,211.32, 517,786.50 and 205,445.46 is: 283,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,211.32 : 517,786.50 = 205,445.46 : x
  2. Step 2: Convert to fraction form
    375,211.32/517,786.50 = 205,445.46/x
  3. Step 3: Cross multiply
    375,211.32x = 517,786.50 × 205,445.46
  4. Step 4: Simplify right side
    375,211.32x = 106,376,885,674.29
  5. Step 5: Solve for x
    x = 106,376,885,674.29/375,211.32
  6. Step 6: Final answer
    x = 283,511.93

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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.