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Finding the Fourth Proportional to 511,393.80, 766,967.67 and 156,410.91

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Solution

The fourth proportional to 511,393.80, 766,967.67 and 156,410.91 is: 234,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,393.80 : 766,967.67 = 156,410.91 : x
  2. Step 2: Convert to fraction form
    511,393.80/766,967.67 = 156,410.91/x
  3. Step 3: Cross multiply
    511,393.80x = 766,967.67 × 156,410.91
  4. Step 4: Simplify right side
    511,393.80x = 119,962,111,205.28
  5. Step 5: Solve for x
    x = 119,962,111,205.28/511,393.80
  6. Step 6: Final answer
    x = 234,578.74

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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.