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Finding the Fourth Proportional to 284,048.78, 425,999.93 and 84,324.02

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Solution

The fourth proportional to 284,048.78, 425,999.93 and 84,324.02 is: 126,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,048.78 : 425,999.93 = 84,324.02 : x
  2. Step 2: Convert to fraction form
    284,048.78/425,999.93 = 84,324.02/x
  3. Step 3: Cross multiply
    284,048.78x = 425,999.93 × 84,324.02
  4. Step 4: Simplify right side
    284,048.78x = 35,922,024,065.70
  5. Step 5: Solve for x
    x = 35,922,024,065.70/284,048.78
  6. Step 6: Final answer
    x = 126,464.28

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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.