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Finding the Fourth Proportional to 512,015.28, 706,579.92 and 297,281.04

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Solution

The fourth proportional to 512,015.28, 706,579.92 and 297,281.04 is: 410,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,015.28 : 706,579.92 = 297,281.04 : x
  2. Step 2: Convert to fraction form
    512,015.28/706,579.92 = 297,281.04/x
  3. Step 3: Cross multiply
    512,015.28x = 706,579.92 × 297,281.04
  4. Step 4: Simplify right side
    512,015.28x = 210,052,813,460.72
  5. Step 5: Solve for x
    x = 210,052,813,460.72/512,015.28
  6. Step 6: Final answer
    x = 410,247.16

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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.