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Finding the Fourth Proportional to 768,474.32, 1,152,696.76 and 347,456.08

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Solution

The fourth proportional to 768,474.32, 1,152,696.76 and 347,456.08 is: 521,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,474.32 : 1,152,696.76 = 347,456.08 : x
  2. Step 2: Convert to fraction form
    768,474.32/1,152,696.76 = 347,456.08/x
  3. Step 3: Cross multiply
    768,474.32x = 1,152,696.76 × 347,456.08
  4. Step 4: Simplify right side
    768,474.32x = 400,511,497,658.30
  5. Step 5: Solve for x
    x = 400,511,497,658.30/768,474.32
  6. Step 6: Final answer
    x = 521,177.46

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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.