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Finding the Fourth Proportional to 284,825.12, 427,323.32 and 85,152

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Solution

The fourth proportional to 284,825.12, 427,323.32 and 85,152 is: 127,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,825.12 : 427,323.32 = 85,152 : x
  2. Step 2: Convert to fraction form
    284,825.12/427,323.32 = 85,152/x
  3. Step 3: Cross multiply
    284,825.12x = 427,323.32 × 85,152
  4. Step 4: Simplify right side
    284,825.12x = 36,387,435,344.64
  5. Step 5: Solve for x
    x = 36,387,435,344.64/284,825.12
  6. Step 6: Final answer
    x = 127,753.60

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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.