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Finding the Fourth Proportional to 493,327.17, 739,861.16 and 212,782.05

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Solution

The fourth proportional to 493,327.17, 739,861.16 and 212,782.05 is: 319,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,327.17 : 739,861.16 = 212,782.05 : x
  2. Step 2: Convert to fraction form
    493,327.17/739,861.16 = 212,782.05/x
  3. Step 3: Cross multiply
    493,327.17x = 739,861.16 × 212,782.05
  4. Step 4: Simplify right side
    493,327.17x = 157,429,173,276.27
  5. Step 5: Solve for x
    x = 157,429,173,276.27/493,327.17
  6. Step 6: Final answer
    x = 319,117.18

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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.