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Finding the Fourth Proportional to 375,104.91, 517,641.30 and 203,019.40

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Solution

The fourth proportional to 375,104.91, 517,641.30 and 203,019.40 is: 280,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,104.91 : 517,641.30 = 203,019.40 : x
  2. Step 2: Convert to fraction form
    375,104.91/517,641.30 = 203,019.40/x
  3. Step 3: Cross multiply
    375,104.91x = 517,641.30 × 203,019.40
  4. Step 4: Simplify right side
    375,104.91x = 105,091,226,141.22
  5. Step 5: Solve for x
    x = 105,091,226,141.22/375,104.91
  6. Step 6: Final answer
    x = 280,164.89

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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.