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Finding the Fourth Proportional to 285,470.82, 428,471.91 and 145,334.34

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Solution

The fourth proportional to 285,470.82, 428,471.91 and 145,334.34 is: 218,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,470.82 : 428,471.91 = 145,334.34 : x
  2. Step 2: Convert to fraction form
    285,470.82/428,471.91 = 145,334.34/x
  3. Step 3: Cross multiply
    285,470.82x = 428,471.91 × 145,334.34
  4. Step 4: Simplify right side
    285,470.82x = 62,271,682,248.39
  5. Step 5: Solve for x
    x = 62,271,682,248.39/285,470.82
  6. Step 6: Final answer
    x = 218,136.77

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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.