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Finding the Fourth Proportional to 284,501.69, 426,774.32 and 84,806.81

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Solution

The fourth proportional to 284,501.69, 426,774.32 and 84,806.81 is: 127,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,501.69 : 426,774.32 = 84,806.81 : x
  2. Step 2: Convert to fraction form
    284,501.69/426,774.32 = 84,806.81/x
  3. Step 3: Cross multiply
    284,501.69x = 426,774.32 × 84,806.81
  4. Step 4: Simplify right side
    284,501.69x = 36,193,368,245.09
  5. Step 5: Solve for x
    x = 36,193,368,245.09/284,501.69
  6. Step 6: Final answer
    x = 127,216.71

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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.