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Finding the Fourth Proportional to 512,455.58, 707,134.74 and 297,553.58

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Solution

The fourth proportional to 512,455.58, 707,134.74 and 297,553.58 is: 410,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,455.58 : 707,134.74 = 297,553.58 : x
  2. Step 2: Convert to fraction form
    512,455.58/707,134.74 = 297,553.58/x
  3. Step 3: Cross multiply
    512,455.58x = 707,134.74 × 297,553.58
  4. Step 4: Simplify right side
    512,455.58x = 210,410,473,429.37
  5. Step 5: Solve for x
    x = 210,410,473,429.37/512,455.58
  6. Step 6: Final answer
    x = 410,592.61

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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.