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Finding the Fourth Proportional to 666,286.41, 919,472.36 and 360,363.08

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Solution

The fourth proportional to 666,286.41, 919,472.36 and 360,363.08 is: 497,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,286.41 : 919,472.36 = 360,363.08 : x
  2. Step 2: Convert to fraction form
    666,286.41/919,472.36 = 360,363.08/x
  3. Step 3: Cross multiply
    666,286.41x = 919,472.36 × 360,363.08
  4. Step 4: Simplify right side
    666,286.41x = 331,343,888,976.35
  5. Step 5: Solve for x
    x = 331,343,888,976.35/666,286.41
  6. Step 6: Final answer
    x = 497,299.49

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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.