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Finding the Fourth Proportional to 511,468.44, 766,980.32 and 146,649.72

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Solution

The fourth proportional to 511,468.44, 766,980.32 and 146,649.72 is: 219,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,468.44 : 766,980.32 = 146,649.72 : x
  2. Step 2: Convert to fraction form
    511,468.44/766,980.32 = 146,649.72/x
  3. Step 3: Cross multiply
    511,468.44x = 766,980.32 × 146,649.72
  4. Step 4: Simplify right side
    511,468.44x = 112,477,449,173.51
  5. Step 5: Solve for x
    x = 112,477,449,173.51/511,468.44
  6. Step 6: Final answer
    x = 219,910.83

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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.