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Finding the Fourth Proportional to 680,456.72, 1,020,742.68 and 207,146

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Solution

The fourth proportional to 680,456.72, 1,020,742.68 and 207,146 is: 310,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,456.72 : 1,020,742.68 = 207,146 : x
  2. Step 2: Convert to fraction form
    680,456.72/1,020,742.68 = 207,146/x
  3. Step 3: Cross multiply
    680,456.72x = 1,020,742.68 × 207,146
  4. Step 4: Simplify right side
    680,456.72x = 211,442,763,191.28
  5. Step 5: Solve for x
    x = 211,442,763,191.28/680,456.72
  6. Step 6: Final answer
    x = 310,736.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.