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Finding the Fourth Proportional to 768,999.92, 1,153,232.72 and 427,963.76

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Solution

The fourth proportional to 768,999.92, 1,153,232.72 and 427,963.76 is: 641,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,999.92 : 1,153,232.72 = 427,963.76 : x
  2. Step 2: Convert to fraction form
    768,999.92/1,153,232.72 = 427,963.76/x
  3. Step 3: Cross multiply
    768,999.92x = 1,153,232.72 × 427,963.76
  4. Step 4: Simplify right side
    768,999.92x = 493,541,811,006.23
  5. Step 5: Solve for x
    x = 493,541,811,006.23/768,999.92
  6. Step 6: Final answer
    x = 641,796.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.