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Finding the Fourth Proportional to 420,520, 631,042.44 and 171,202

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Solution

The fourth proportional to 420,520, 631,042.44 and 171,202 is: 256,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,520 : 631,042.44 = 171,202 : x
  2. Step 2: Convert to fraction form
    420,520/631,042.44 = 171,202/x
  3. Step 3: Cross multiply
    420,520x = 631,042.44 × 171,202
  4. Step 4: Simplify right side
    420,520x = 108,035,727,812.88
  5. Step 5: Solve for x
    x = 108,035,727,812.88/420,520
  6. Step 6: Final answer
    x = 256,909.84

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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.