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Finding the Fourth Proportional to 680,286.78, 1,020,388.86 and 253,740.38

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Solution

The fourth proportional to 680,286.78, 1,020,388.86 and 253,740.38 is: 380,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,286.78 : 1,020,388.86 = 253,740.38 : x
  2. Step 2: Convert to fraction form
    680,286.78/1,020,388.86 = 253,740.38/x
  3. Step 3: Cross multiply
    680,286.78x = 1,020,388.86 × 253,740.38
  4. Step 4: Simplify right side
    680,286.78x = 258,913,851,982.22
  5. Step 5: Solve for x
    x = 258,913,851,982.22/680,286.78
  6. Step 6: Final answer
    x = 380,595.15

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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.