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Finding the Fourth Proportional to 511,980.48, 768,511.80 and 287,532.72

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Solution

The fourth proportional to 511,980.48, 768,511.80 and 287,532.72 is: 431,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,980.48 : 768,511.80 = 287,532.72 : x
  2. Step 2: Convert to fraction form
    511,980.48/768,511.80 = 287,532.72/x
  3. Step 3: Cross multiply
    511,980.48x = 768,511.80 × 287,532.72
  4. Step 4: Simplify right side
    511,980.48x = 220,972,288,206.10
  5. Step 5: Solve for x
    x = 220,972,288,206.10/511,980.48
  6. Step 6: Final answer
    x = 431,602.96

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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.