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Finding the Fourth Proportional to 420,990, 580,966.20 and 242,142

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Solution

The fourth proportional to 420,990, 580,966.20 and 242,142 is: 334,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,990 : 580,966.20 = 242,142 : x
  2. Step 2: Convert to fraction form
    420,990/580,966.20 = 242,142/x
  3. Step 3: Cross multiply
    420,990x = 580,966.20 × 242,142
  4. Step 4: Simplify right side
    420,990x = 140,676,317,600.40
  5. Step 5: Solve for x
    x = 140,676,317,600.40/420,990
  6. Step 6: Final answer
    x = 334,155.96

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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.