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Finding the Fourth Proportional to 666,769.56, 920,144.92 and 360,846

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Solution

The fourth proportional to 666,769.56, 920,144.92 and 360,846 is: 497,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,769.56 : 920,144.92 = 360,846 : x
  2. Step 2: Convert to fraction form
    666,769.56/920,144.92 = 360,846/x
  3. Step 3: Cross multiply
    666,769.56x = 920,144.92 × 360,846
  4. Step 4: Simplify right side
    666,769.56x = 332,030,613,802.32
  5. Step 5: Solve for x
    x = 332,030,613,802.32/666,769.56
  6. Step 6: Final answer
    x = 497,969.06

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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.