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Finding the Fourth Proportional to 378,493.12, 522,296.76 and 217,234.72

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Solution

The fourth proportional to 378,493.12, 522,296.76 and 217,234.72 is: 299,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,493.12 : 522,296.76 = 217,234.72 : x
  2. Step 2: Convert to fraction form
    378,493.12/522,296.76 = 217,234.72/x
  3. Step 3: Cross multiply
    378,493.12x = 522,296.76 × 217,234.72
  4. Step 4: Simplify right side
    378,493.12x = 113,460,990,415.51
  5. Step 5: Solve for x
    x = 113,460,990,415.51/378,493.12
  6. Step 6: Final answer
    x = 299,770.28

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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.