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Finding the Fourth Proportional to 666,871.17, 920,282.12 and 360,947.48

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Solution

The fourth proportional to 666,871.17, 920,282.12 and 360,947.48 is: 498,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,871.17 : 920,282.12 = 360,947.48 : x
  2. Step 2: Convert to fraction form
    666,871.17/920,282.12 = 360,947.48/x
  3. Step 3: Cross multiply
    666,871.17x = 920,282.12 × 360,947.48
  4. Step 4: Simplify right side
    666,871.17x = 332,173,505,696.91
  5. Step 5: Solve for x
    x = 332,173,505,696.91/666,871.17
  6. Step 6: Final answer
    x = 498,107.46

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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.