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Finding the Fourth Proportional to 284,418.90, 426,698.52 and 84,738.50

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Solution

The fourth proportional to 284,418.90, 426,698.52 and 84,738.50 is: 127,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,418.90 : 426,698.52 = 84,738.50 : x
  2. Step 2: Convert to fraction form
    284,418.90/426,698.52 = 84,738.50/x
  3. Step 3: Cross multiply
    284,418.90x = 426,698.52 × 84,738.50
  4. Step 4: Simplify right side
    284,418.90x = 36,157,792,537.02
  5. Step 5: Solve for x
    x = 36,157,792,537.02/284,418.90
  6. Step 6: Final answer
    x = 127,128.66

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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.