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Finding the Fourth Proportional to 375,071.97, 517,595.32 and 202,986.20

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Solution

The fourth proportional to 375,071.97, 517,595.32 and 202,986.20 is: 280,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,071.97 : 517,595.32 = 202,986.20 : x
  2. Step 2: Convert to fraction form
    375,071.97/517,595.32 = 202,986.20/x
  3. Step 3: Cross multiply
    375,071.97x = 517,595.32 × 202,986.20
  4. Step 4: Simplify right side
    375,071.97x = 105,064,707,550.51
  5. Step 5: Solve for x
    x = 105,064,707,550.51/375,071.97
  6. Step 6: Final answer
    x = 280,118.79

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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.