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Finding the Fourth Proportional to 500,571.64, 690,838.41 and 285,744.01

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Solution

The fourth proportional to 500,571.64, 690,838.41 and 285,744.01 is: 394,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,571.64 : 690,838.41 = 285,744.01 : x
  2. Step 2: Convert to fraction form
    500,571.64/690,838.41 = 285,744.01/x
  3. Step 3: Cross multiply
    500,571.64x = 690,838.41 × 285,744.01
  4. Step 4: Simplify right side
    500,571.64x = 197,402,937,535.42
  5. Step 5: Solve for x
    x = 197,402,937,535.42/500,571.64
  6. Step 6: Final answer
    x = 394,355.02

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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.