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Finding the Fourth Proportional to 505,980.78, 758,970.42 and 132,003.78

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Solution

The fourth proportional to 505,980.78, 758,970.42 and 132,003.78 is: 198,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,980.78 : 758,970.42 = 132,003.78 : x
  2. Step 2: Convert to fraction form
    505,980.78/758,970.42 = 132,003.78/x
  3. Step 3: Cross multiply
    505,980.78x = 758,970.42 × 132,003.78
  4. Step 4: Simplify right side
    505,980.78x = 100,186,964,348.19
  5. Step 5: Solve for x
    x = 100,186,964,348.19/505,980.78
  6. Step 6: Final answer
    x = 198,005.47

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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.