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Finding the Fourth Proportional to 680,708, 1,021,406.52 and 281,635.16

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Solution

The fourth proportional to 680,708, 1,021,406.52 and 281,635.16 is: 422,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,708 : 1,021,406.52 = 281,635.16 : x
  2. Step 2: Convert to fraction form
    680,708/1,021,406.52 = 281,635.16/x
  3. Step 3: Cross multiply
    680,708x = 1,021,406.52 × 281,635.16
  4. Step 4: Simplify right side
    680,708x = 287,663,988,685.24
  5. Step 5: Solve for x
    x = 287,663,988,685.24/680,708
  6. Step 6: Final answer
    x = 422,595.28

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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.