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Finding the Fourth Proportional to 285,801.81, 428,730.05 and 108,261.15

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Solution

The fourth proportional to 285,801.81, 428,730.05 and 108,261.15 is: 162,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,801.81 : 428,730.05 = 108,261.15 : x
  2. Step 2: Convert to fraction form
    285,801.81/428,730.05 = 108,261.15/x
  3. Step 3: Cross multiply
    285,801.81x = 428,730.05 × 108,261.15
  4. Step 4: Simplify right side
    285,801.81x = 46,414,808,252.56
  5. Step 5: Solve for x
    x = 46,414,808,252.56/285,801.81
  6. Step 6: Final answer
    x = 162,402.08

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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.