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Finding the Fourth Proportional to 270,510.75, 405,502.43 and 112,784.31

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Solution

The fourth proportional to 270,510.75, 405,502.43 and 112,784.31 is: 169,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,510.75 : 405,502.43 = 112,784.31 : x
  2. Step 2: Convert to fraction form
    270,510.75/405,502.43 = 112,784.31/x
  3. Step 3: Cross multiply
    270,510.75x = 405,502.43 × 112,784.31
  4. Step 4: Simplify right side
    270,510.75x = 45,734,311,206.95
  5. Step 5: Solve for x
    x = 45,734,311,206.95/270,510.75
  6. Step 6: Final answer
    x = 169,066.52

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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.