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Finding the Fourth Proportional to 512,820.36, 707,697.90 and 283,376.70

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Solution

The fourth proportional to 512,820.36, 707,697.90 and 283,376.70 is: 391,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,820.36 : 707,697.90 = 283,376.70 : x
  2. Step 2: Convert to fraction form
    512,820.36/707,697.90 = 283,376.70/x
  3. Step 3: Cross multiply
    512,820.36x = 707,697.90 × 283,376.70
  4. Step 4: Simplify right side
    512,820.36x = 200,545,095,498.93
  5. Step 5: Solve for x
    x = 200,545,095,498.93/512,820.36
  6. Step 6: Final answer
    x = 391,063.05

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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.