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Finding the Fourth Proportional to 284,840.65, 427,285.37 and 74,478.25

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Solution

The fourth proportional to 284,840.65, 427,285.37 and 74,478.25 is: 111,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,840.65 : 427,285.37 = 74,478.25 : x
  2. Step 2: Convert to fraction form
    284,840.65/427,285.37 = 74,478.25/x
  3. Step 3: Cross multiply
    284,840.65x = 427,285.37 × 74,478.25
  4. Step 4: Simplify right side
    284,840.65x = 31,823,466,608.20
  5. Step 5: Solve for x
    x = 31,823,466,608.20/284,840.65
  6. Step 6: Final answer
    x = 111,723.75

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1.5x scale

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.