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Finding the Fourth Proportional to 523,952,855.49, 723,057,188.49 and 285,803,229.78

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Solution

The fourth proportional to 523,952,855.49, 723,057,188.49 and 285,803,229.78 is: 394,409,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,952,855.49 : 723,057,188.49 = 285,803,229.78 : x
  2. Step 2: Convert to fraction form
    523,952,855.49/723,057,188.49 = 285,803,229.78/x
  3. Step 3: Cross multiply
    523,952,855.49x = 723,057,188.49 × 285,803,229.78
  4. Step 4: Simplify right side
    523,952,855.49x = 206,652,079,786,088,224
  5. Step 5: Solve for x
    x = 206,652,079,786,088,224/523,952,855.49
  6. Step 6: Final answer
    x = 394,409,683.28

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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.