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Finding the Fourth Proportional to 420,409.82, 580,177.88 and 229,435.49

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Solution

The fourth proportional to 420,409.82, 580,177.88 and 229,435.49 is: 316,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,409.82 : 580,177.88 = 229,435.49 : x
  2. Step 2: Convert to fraction form
    420,409.82/580,177.88 = 229,435.49/x
  3. Step 3: Cross multiply
    420,409.82x = 580,177.88 × 229,435.49
  4. Step 4: Simplify right side
    420,409.82x = 133,113,392,136.89
  5. Step 5: Solve for x
    x = 133,113,392,136.89/420,409.82
  6. Step 6: Final answer
    x = 316,627.70

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1.5x scale

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.