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Finding the Fourth Proportional to 285,308.10, 427,984.02 and 85,613.94

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Solution

The fourth proportional to 285,308.10, 427,984.02 and 85,613.94 is: 128,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,308.10 : 427,984.02 = 85,613.94 : x
  2. Step 2: Convert to fraction form
    285,308.10/427,984.02 = 85,613.94/x
  3. Step 3: Cross multiply
    285,308.10x = 427,984.02 × 85,613.94
  4. Step 4: Simplify right side
    285,308.10x = 36,641,398,209.24
  5. Step 5: Solve for x
    x = 36,641,398,209.24/285,308.10
  6. Step 6: Final answer
    x = 128,427.47

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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.