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Finding the Fourth Proportional to 284,505.44, 426,779.94 and 84,810.56

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Solution

The fourth proportional to 284,505.44, 426,779.94 and 84,810.56 is: 127,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,505.44 : 426,779.94 = 84,810.56 : x
  2. Step 2: Convert to fraction form
    284,505.44/426,779.94 = 84,810.56/x
  3. Step 3: Cross multiply
    284,505.44x = 426,779.94 × 84,810.56
  4. Step 4: Simplify right side
    284,505.44x = 36,195,445,708.17
  5. Step 5: Solve for x
    x = 36,195,445,708.17/284,505.44
  6. Step 6: Final answer
    x = 127,222.33

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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.