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Finding the Fourth Proportional to 420,429.34, 580,194.12 and 229,447

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Solution

The fourth proportional to 420,429.34, 580,194.12 and 229,447 is: 316,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,429.34 : 580,194.12 = 229,447 : x
  2. Step 2: Convert to fraction form
    420,429.34/580,194.12 = 229,447/x
  3. Step 3: Cross multiply
    420,429.34x = 580,194.12 × 229,447
  4. Step 4: Simplify right side
    420,429.34x = 133,123,800,251.64
  5. Step 5: Solve for x
    x = 133,123,800,251.64/420,429.34
  6. Step 6: Final answer
    x = 316,637.75

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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.