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Finding the Fourth Proportional to 666,286.94, 919,264.87 and 407,893.70

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Solution

The fourth proportional to 666,286.94, 919,264.87 and 407,893.70 is: 562,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,286.94 : 919,264.87 = 407,893.70 : x
  2. Step 2: Convert to fraction form
    666,286.94/919,264.87 = 407,893.70/x
  3. Step 3: Cross multiply
    666,286.94x = 919,264.87 × 407,893.70
  4. Step 4: Simplify right side
    666,286.94x = 374,962,349,104.32
  5. Step 5: Solve for x
    x = 374,962,349,104.32/666,286.94
  6. Step 6: Final answer
    x = 562,764.07

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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.