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Finding the Fourth Proportional to 309,143.17, 428,800.20 and 300,949.21

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Solution

The fourth proportional to 309,143.17, 428,800.20 and 300,949.21 is: 417,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,143.17 : 428,800.20 = 300,949.21 : x
  2. Step 2: Convert to fraction form
    309,143.17/428,800.20 = 300,949.21/x
  3. Step 3: Cross multiply
    309,143.17x = 428,800.20 × 300,949.21
  4. Step 4: Simplify right side
    309,143.17x = 129,047,081,437.84
  5. Step 5: Solve for x
    x = 129,047,081,437.84/309,143.17
  6. Step 6: Final answer
    x = 417,434.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.