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Finding the Fourth Proportional to 511,324.08, 767,021.76 and 156,310.80

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Solution

The fourth proportional to 511,324.08, 767,021.76 and 156,310.80 is: 234,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,324.08 : 767,021.76 = 156,310.80 : x
  2. Step 2: Convert to fraction form
    511,324.08/767,021.76 = 156,310.80/x
  3. Step 3: Cross multiply
    511,324.08x = 767,021.76 × 156,310.80
  4. Step 4: Simplify right side
    511,324.08x = 119,893,784,923.01
  5. Step 5: Solve for x
    x = 119,893,784,923.01/511,324.08
  6. Step 6: Final answer
    x = 234,477.10

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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.