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Finding the Fourth Proportional to 420,710.98, 631,251.42 and 220,984.96

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Solution

The fourth proportional to 420,710.98, 631,251.42 and 220,984.96 is: 331,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,710.98 : 631,251.42 = 220,984.96 : x
  2. Step 2: Convert to fraction form
    420,710.98/631,251.42 = 220,984.96/x
  3. Step 3: Cross multiply
    420,710.98x = 631,251.42 × 220,984.96
  4. Step 4: Simplify right side
    420,710.98x = 139,497,069,798.64
  5. Step 5: Solve for x
    x = 139,497,069,798.64/420,710.98
  6. Step 6: Final answer
    x = 331,574.59

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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.