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Finding the Fourth Proportional to 284,953.65, 427,375.80 and 85,280.55

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Solution

The fourth proportional to 284,953.65, 427,375.80 and 85,280.55 is: 127,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,953.65 : 427,375.80 = 85,280.55 : x
  2. Step 2: Convert to fraction form
    284,953.65/427,375.80 = 85,280.55/x
  3. Step 3: Cross multiply
    284,953.65x = 427,375.80 × 85,280.55
  4. Step 4: Simplify right side
    284,953.65x = 36,446,843,280.69
  5. Step 5: Solve for x
    x = 36,446,843,280.69/284,953.65
  6. Step 6: Final answer
    x = 127,904.46

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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.