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Finding the Fourth Proportional to 420,679.64, 580,561.44 and 229,710.80

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Solution

The fourth proportional to 420,679.64, 580,561.44 and 229,710.80 is: 317,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,679.64 : 580,561.44 = 229,710.80 : x
  2. Step 2: Convert to fraction form
    420,679.64/580,561.44 = 229,710.80/x
  3. Step 3: Cross multiply
    420,679.64x = 580,561.44 × 229,710.80
  4. Step 4: Simplify right side
    420,679.64x = 133,361,232,831.55
  5. Step 5: Solve for x
    x = 133,361,232,831.55/420,679.64
  6. Step 6: Final answer
    x = 317,013.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.