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Finding the Fourth Proportional to 284,294.97, 426,543.98 and 122,120.91

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Solution

The fourth proportional to 284,294.97, 426,543.98 and 122,120.91 is: 183,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,294.97 : 426,543.98 = 122,120.91 : x
  2. Step 2: Convert to fraction form
    284,294.97/426,543.98 = 122,120.91/x
  3. Step 3: Cross multiply
    284,294.97x = 426,543.98 × 122,120.91
  4. Step 4: Simplify right side
    284,294.97x = 52,089,938,382.02
  5. Step 5: Solve for x
    x = 52,089,938,382.02/284,294.97
  6. Step 6: Final answer
    x = 183,224.97

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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.