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Finding the Fourth Proportional to 493,309.70, 680,767.36 and 266,955.20

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Solution

The fourth proportional to 493,309.70, 680,767.36 and 266,955.20 is: 368,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,309.70 : 680,767.36 = 266,955.20 : x
  2. Step 2: Convert to fraction form
    493,309.70/680,767.36 = 266,955.20/x
  3. Step 3: Cross multiply
    493,309.70x = 680,767.36 × 266,955.20
  4. Step 4: Simplify right side
    493,309.70x = 181,734,386,742.27
  5. Step 5: Solve for x
    x = 181,734,386,742.27/493,309.70
  6. Step 6: Final answer
    x = 368,398.16

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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.