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Finding the Fourth Proportional to 285,473.82, 428,476.41 and 145,337.34

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Solution

The fourth proportional to 285,473.82, 428,476.41 and 145,337.34 is: 218,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,473.82 : 428,476.41 = 145,337.34 : x
  2. Step 2: Convert to fraction form
    285,473.82/428,476.41 = 145,337.34/x
  3. Step 3: Cross multiply
    285,473.82x = 428,476.41 × 145,337.34
  4. Step 4: Simplify right side
    285,473.82x = 62,273,621,682.15
  5. Step 5: Solve for x
    x = 62,273,621,682.15/285,473.82
  6. Step 6: Final answer
    x = 218,141.27

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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.