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Finding the Fourth Proportional to 502,923.95, 694,013.92 and 285,147.27

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Solution

The fourth proportional to 502,923.95, 694,013.92 and 285,147.27 is: 393,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,923.95 : 694,013.92 = 285,147.27 : x
  2. Step 2: Convert to fraction form
    502,923.95/694,013.92 = 285,147.27/x
  3. Step 3: Cross multiply
    502,923.95x = 694,013.92 × 285,147.27
  4. Step 4: Simplify right side
    502,923.95x = 197,896,174,630.00
  5. Step 5: Solve for x
    x = 197,896,174,630.00/502,923.95
  6. Step 6: Final answer
    x = 393,491.25

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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.