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Finding the Fourth Proportional to 285,567.46, 428,372.43 and 85,871.86

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Solution

The fourth proportional to 285,567.46, 428,372.43 and 85,871.86 is: 128,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,567.46 : 428,372.43 = 85,871.86 : x
  2. Step 2: Convert to fraction form
    285,567.46/428,372.43 = 85,871.86/x
  3. Step 3: Cross multiply
    285,567.46x = 428,372.43 × 85,871.86
  4. Step 4: Simplify right side
    285,567.46x = 36,785,137,336.82
  5. Step 5: Solve for x
    x = 36,785,137,336.82/285,567.46
  6. Step 6: Final answer
    x = 128,814.18

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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.