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Finding the Fourth Proportional to 284,751.81, 427,152.32 and 74,389.75

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Solution

The fourth proportional to 284,751.81, 427,152.32 and 74,389.75 is: 111,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,751.81 : 427,152.32 = 74,389.75 : x
  2. Step 2: Convert to fraction form
    284,751.81/427,152.32 = 74,389.75/x
  3. Step 3: Cross multiply
    284,751.81x = 427,152.32 × 74,389.75
  4. Step 4: Simplify right side
    284,751.81x = 31,775,754,296.72
  5. Step 5: Solve for x
    x = 31,775,754,296.72/284,751.81
  6. Step 6: Final answer
    x = 111,591.05

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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.