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Finding the Fourth Proportional to 270,734.83, 405,658.36 and 191,707.18

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Solution

The fourth proportional to 270,734.83, 405,658.36 and 191,707.18 is: 287,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,734.83 : 405,658.36 = 191,707.18 : x
  2. Step 2: Convert to fraction form
    270,734.83/405,658.36 = 191,707.18/x
  3. Step 3: Cross multiply
    270,734.83x = 405,658.36 × 191,707.18
  4. Step 4: Simplify right side
    270,734.83x = 77,767,620,239.02
  5. Step 5: Solve for x
    x = 77,767,620,239.02/270,734.83
  6. Step 6: Final answer
    x = 287,246.46

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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.