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Finding the Fourth Proportional to 511,204.29, 766,808.25 and 156,216.82

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Solution

The fourth proportional to 511,204.29, 766,808.25 and 156,216.82 is: 234,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,204.29 : 766,808.25 = 156,216.82 : x
  2. Step 2: Convert to fraction form
    511,204.29/766,808.25 = 156,216.82/x
  3. Step 3: Cross multiply
    511,204.29x = 766,808.25 × 156,216.82
  4. Step 4: Simplify right side
    511,204.29x = 119,788,346,364.77
  5. Step 5: Solve for x
    x = 119,788,346,364.77/511,204.29
  6. Step 6: Final answer
    x = 234,325.78

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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.