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Finding the Fourth Proportional to 508,571.28, 701,821.80 and 282,211.92

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Solution

The fourth proportional to 508,571.28, 701,821.80 and 282,211.92 is: 389,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,571.28 : 701,821.80 = 282,211.92 : x
  2. Step 2: Convert to fraction form
    508,571.28/701,821.80 = 282,211.92/x
  3. Step 3: Cross multiply
    508,571.28x = 701,821.80 × 282,211.92
  4. Step 4: Simplify right side
    508,571.28x = 198,062,477,675.86
  5. Step 5: Solve for x
    x = 198,062,477,675.86/508,571.28
  6. Step 6: Final answer
    x = 389,448.81

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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.