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Finding the Fourth Proportional to 373,189.32, 514,981.82 and 212,022

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Solution

The fourth proportional to 373,189.32, 514,981.82 and 212,022 is: 292,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,189.32 : 514,981.82 = 212,022 : x
  2. Step 2: Convert to fraction form
    373,189.32/514,981.82 = 212,022/x
  3. Step 3: Cross multiply
    373,189.32x = 514,981.82 × 212,022
  4. Step 4: Simplify right side
    373,189.32x = 109,187,474,379.93
  5. Step 5: Solve for x
    x = 109,187,474,379.93/373,189.32
  6. Step 6: Final answer
    x = 292,579.31

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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.