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Finding the Fourth Proportional to 285,920.46, 428,943.06 and 108,429.21

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Solution

The fourth proportional to 285,920.46, 428,943.06 and 108,429.21 is: 162,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,920.46 : 428,943.06 = 108,429.21 : x
  2. Step 2: Convert to fraction form
    285,920.46/428,943.06 = 108,429.21/x
  3. Step 3: Cross multiply
    285,920.46x = 428,943.06 × 108,429.21
  4. Step 4: Simplify right side
    285,920.46x = 46,509,957,130.78
  5. Step 5: Solve for x
    x = 46,509,957,130.78/285,920.46
  6. Step 6: Final answer
    x = 162,667.47

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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.