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Finding the Fourth Proportional to 612,505.72, 918,755.34 and 213,143.32

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Solution

The fourth proportional to 612,505.72, 918,755.34 and 213,143.32 is: 319,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,505.72 : 918,755.34 = 213,143.32 : x
  2. Step 2: Convert to fraction form
    612,505.72/918,755.34 = 213,143.32/x
  3. Step 3: Cross multiply
    612,505.72x = 918,755.34 × 213,143.32
  4. Step 4: Simplify right side
    612,505.72x = 195,826,563,435.33
  5. Step 5: Solve for x
    x = 195,826,563,435.33/612,505.72
  6. Step 6: Final answer
    x = 319,713.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.