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Finding the Fourth Proportional to 285,300, 427,949.52 and 85,620

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Solution

The fourth proportional to 285,300, 427,949.52 and 85,620 is: 128,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,300 : 427,949.52 = 85,620 : x
  2. Step 2: Convert to fraction form
    285,300/427,949.52 = 85,620/x
  3. Step 3: Cross multiply
    285,300x = 427,949.52 × 85,620
  4. Step 4: Simplify right side
    285,300x = 36,641,037,902.40
  5. Step 5: Solve for x
    x = 36,641,037,902.40/285,300
  6. Step 6: Final answer
    x = 128,429.86

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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.