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Finding the Fourth Proportional to 378,695.42, 522,630.90 and 215,403.06

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Solution

The fourth proportional to 378,695.42, 522,630.90 and 215,403.06 is: 297,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,695.42 : 522,630.90 = 215,403.06 : x
  2. Step 2: Convert to fraction form
    378,695.42/522,630.90 = 215,403.06/x
  3. Step 3: Cross multiply
    378,695.42x = 522,630.90 × 215,403.06
  4. Step 4: Simplify right side
    378,695.42x = 112,576,295,110.55
  5. Step 5: Solve for x
    x = 112,576,295,110.55/378,695.42
  6. Step 6: Final answer
    x = 297,273.98

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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.