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Finding the Fourth Proportional to 304,583, 420,266.22 and 197,138.12

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Solution

The fourth proportional to 304,583, 420,266.22 and 197,138.12 is: 272,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,583 : 420,266.22 = 197,138.12 : x
  2. Step 2: Convert to fraction form
    304,583/420,266.22 = 197,138.12/x
  3. Step 3: Cross multiply
    304,583x = 420,266.22 × 197,138.12
  4. Step 4: Simplify right side
    304,583x = 82,850,492,510.31
  5. Step 5: Solve for x
    x = 82,850,492,510.31/304,583
  6. Step 6: Final answer
    x = 272,012.86

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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.