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Finding the Fourth Proportional to 275,159.86, 412,739.82 and 181,643.74

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Solution

The fourth proportional to 275,159.86, 412,739.82 and 181,643.74 is: 272,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,159.86 : 412,739.82 = 181,643.74 : x
  2. Step 2: Convert to fraction form
    275,159.86/412,739.82 = 181,643.74/x
  3. Step 3: Cross multiply
    275,159.86x = 412,739.82 × 181,643.74
  4. Step 4: Simplify right side
    275,159.86x = 74,971,604,551.73
  5. Step 5: Solve for x
    x = 74,971,604,551.73/275,159.86
  6. Step 6: Final answer
    x = 272,465.63

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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.