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Finding the Fourth Proportional to 284,114.20, 425,879.70 and 165,724.60

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Solution

The fourth proportional to 284,114.20, 425,879.70 and 165,724.60 is: 248,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,114.20 : 425,879.70 = 165,724.60 : x
  2. Step 2: Convert to fraction form
    284,114.20/425,879.70 = 165,724.60/x
  3. Step 3: Cross multiply
    284,114.20x = 425,879.70 × 165,724.60
  4. Step 4: Simplify right side
    284,114.20x = 70,578,742,930.62
  5. Step 5: Solve for x
    x = 70,578,742,930.62/284,114.20
  6. Step 6: Final answer
    x = 248,416.81

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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.