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Finding the Fourth Proportional to 656,469.76, 905,928.30 and 354,663.76

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Solution

The fourth proportional to 656,469.76, 905,928.30 and 354,663.76 is: 489,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,469.76 : 905,928.30 = 354,663.76 : x
  2. Step 2: Convert to fraction form
    656,469.76/905,928.30 = 354,663.76/x
  3. Step 3: Cross multiply
    656,469.76x = 905,928.30 × 354,663.76
  4. Step 4: Simplify right side
    656,469.76x = 321,299,937,168.41
  5. Step 5: Solve for x
    x = 321,299,937,168.41/656,469.76
  6. Step 6: Final answer
    x = 489,436.01

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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.