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Finding the Fourth Proportional to 610,684.08, 842,749.11 and 338,769.81

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Solution

The fourth proportional to 610,684.08, 842,749.11 and 338,769.81 is: 467,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,684.08 : 842,749.11 = 338,769.81 : x
  2. Step 2: Convert to fraction form
    610,684.08/842,749.11 = 338,769.81/x
  3. Step 3: Cross multiply
    610,684.08x = 842,749.11 × 338,769.81
  4. Step 4: Simplify right side
    610,684.08x = 285,497,955,872.37
  5. Step 5: Solve for x
    x = 285,497,955,872.37/610,684.08
  6. Step 6: Final answer
    x = 467,505.16

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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.