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Finding the Fourth Proportional to 500,490.30, 690,726.12 and 285,662.73

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Solution

The fourth proportional to 500,490.30, 690,726.12 and 285,662.73 is: 394,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,490.30 : 690,726.12 = 285,662.73 : x
  2. Step 2: Convert to fraction form
    500,490.30/690,726.12 = 285,662.73/x
  3. Step 3: Cross multiply
    500,490.30x = 690,726.12 × 285,662.73
  4. Step 4: Simplify right side
    500,490.30x = 197,314,709,121.51
  5. Step 5: Solve for x
    x = 197,314,709,121.51/500,490.30
  6. Step 6: Final answer
    x = 394,242.82

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1.5x scale

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.