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Finding the Fourth Proportional to 304,409.10, 420,035.49 and 191,151.66

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Solution

The fourth proportional to 304,409.10, 420,035.49 and 191,151.66 is: 263,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,409.10 : 420,035.49 = 191,151.66 : x
  2. Step 2: Convert to fraction form
    304,409.10/420,035.49 = 191,151.66/x
  3. Step 3: Cross multiply
    304,409.10x = 420,035.49 × 191,151.66
  4. Step 4: Simplify right side
    304,409.10x = 80,290,481,172.41
  5. Step 5: Solve for x
    x = 80,290,481,172.41/304,409.10
  6. Step 6: Final answer
    x = 263,758.48

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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.