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Finding the Fourth Proportional to 284,139, 426,211.74 and 84,454.20

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Solution

The fourth proportional to 284,139, 426,211.74 and 84,454.20 is: 126,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,139 : 426,211.74 = 84,454.20 : x
  2. Step 2: Convert to fraction form
    284,139/426,211.74 = 84,454.20/x
  3. Step 3: Cross multiply
    284,139x = 426,211.74 × 84,454.20
  4. Step 4: Simplify right side
    284,139x = 35,995,371,532.31
  5. Step 5: Solve for x
    x = 35,995,371,532.31/284,139
  6. Step 6: Final answer
    x = 126,682.26

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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.