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Finding the Fourth Proportional to 512,012.28, 706,575.78 and 297,278.04

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Solution

The fourth proportional to 512,012.28, 706,575.78 and 297,278.04 is: 410,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,012.28 : 706,575.78 = 297,278.04 : x
  2. Step 2: Convert to fraction form
    512,012.28/706,575.78 = 297,278.04/x
  3. Step 3: Cross multiply
    512,012.28x = 706,575.78 × 297,278.04
  4. Step 4: Simplify right side
    512,012.28x = 210,049,462,989.87
  5. Step 5: Solve for x
    x = 210,049,462,989.87/512,012.28
  6. Step 6: Final answer
    x = 410,243.02

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1.5x scale

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.