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Finding the Fourth Proportional to 502,921.81, 694,010.97 and 285,145.13

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Solution

The fourth proportional to 502,921.81, 694,010.97 and 285,145.13 is: 393,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,921.81 : 694,010.97 = 285,145.13 : x
  2. Step 2: Convert to fraction form
    502,921.81/694,010.97 = 285,145.13/x
  3. Step 3: Cross multiply
    502,921.81x = 694,010.97 × 285,145.13
  4. Step 4: Simplify right side
    502,921.81x = 197,893,851,066.40
  5. Step 5: Solve for x
    x = 197,893,851,066.40/502,921.81
  6. Step 6: Final answer
    x = 393,488.31

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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.