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Finding the Fourth Proportional to 340,486.72, 510,039.82 and 157,861

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Solution

The fourth proportional to 340,486.72, 510,039.82 and 157,861 is: 236,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,486.72 : 510,039.82 = 157,861 : x
  2. Step 2: Convert to fraction form
    340,486.72/510,039.82 = 157,861/x
  3. Step 3: Cross multiply
    340,486.72x = 510,039.82 × 157,861
  4. Step 4: Simplify right side
    340,486.72x = 80,515,396,025.02
  5. Step 5: Solve for x
    x = 80,515,396,025.02/340,486.72
  6. Step 6: Final answer
    x = 236,471.47

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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.