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Finding the Fourth Proportional to 300,659.43, 414,752.70 and 185,901.39

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Solution

The fourth proportional to 300,659.43, 414,752.70 and 185,901.39 is: 256,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,659.43 : 414,752.70 = 185,901.39 : x
  2. Step 2: Convert to fraction form
    300,659.43/414,752.70 = 185,901.39/x
  3. Step 3: Cross multiply
    300,659.43x = 414,752.70 × 185,901.39
  4. Step 4: Simplify right side
    300,659.43x = 77,103,102,864.12
  5. Step 5: Solve for x
    x = 77,103,102,864.12/300,659.43
  6. Step 6: Final answer
    x = 256,446.65

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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.