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Finding the Fourth Proportional to 340,720.86, 470,197.90 and 187,764.54

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Solution

The fourth proportional to 340,720.86, 470,197.90 and 187,764.54 is: 259,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,720.86 : 470,197.90 = 187,764.54 : x
  2. Step 2: Convert to fraction form
    340,720.86/470,197.90 = 187,764.54/x
  3. Step 3: Cross multiply
    340,720.86x = 470,197.90 × 187,764.54
  4. Step 4: Simplify right side
    340,720.86x = 88,286,490,288.15
  5. Step 5: Solve for x
    x = 88,286,490,288.15/340,720.86
  6. Step 6: Final answer
    x = 259,116.77

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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.