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Finding the Fourth Proportional to 512,080.17, 706,670.10 and 285,725.67

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Solution

The fourth proportional to 512,080.17, 706,670.10 and 285,725.67 is: 394,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,080.17 : 706,670.10 = 285,725.67 : x
  2. Step 2: Convert to fraction form
    512,080.17/706,670.10 = 285,725.67/x
  3. Step 3: Cross multiply
    512,080.17x = 706,670.10 × 285,725.67
  4. Step 4: Simplify right side
    512,080.17x = 201,913,787,791.47
  5. Step 5: Solve for x
    x = 201,913,787,791.47/512,080.17
  6. Step 6: Final answer
    x = 394,301.13

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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.