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Finding the Fourth Proportional to 512,013.83, 706,576.16 and 279,440.96

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Solution

The fourth proportional to 512,013.83, 706,576.16 and 279,440.96 is: 385,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,013.83 : 706,576.16 = 279,440.96 : x
  2. Step 2: Convert to fraction form
    512,013.83/706,576.16 = 279,440.96/x
  3. Step 3: Cross multiply
    512,013.83x = 706,576.16 × 279,440.96
  4. Step 4: Simplify right side
    512,013.83x = 197,446,317,629.24
  5. Step 5: Solve for x
    x = 197,446,317,629.24/512,013.83
  6. Step 6: Final answer
    x = 385,626.93

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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.