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Finding the Fourth Proportional to 375,234.87, 517,828.29 and 203,156.58

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Solution

The fourth proportional to 375,234.87, 517,828.29 and 203,156.58 is: 280,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,234.87 : 517,828.29 = 203,156.58 : x
  2. Step 2: Convert to fraction form
    375,234.87/517,828.29 = 203,156.58/x
  3. Step 3: Cross multiply
    375,234.87x = 517,828.29 × 203,156.58
  4. Step 4: Simplify right side
    375,234.87x = 105,200,225,290.03
  5. Step 5: Solve for x
    x = 105,200,225,290.03/375,234.87
  6. Step 6: Final answer
    x = 280,358.34

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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.