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Finding the Fourth Proportional to 580,018.86, 870,372.74 and 313,773.48

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Solution

The fourth proportional to 580,018.86, 870,372.74 and 313,773.48 is: 470,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,018.86 : 870,372.74 = 313,773.48 : x
  2. Step 2: Convert to fraction form
    580,018.86/870,372.74 = 313,773.48/x
  3. Step 3: Cross multiply
    580,018.86x = 870,372.74 × 313,773.48
  4. Step 4: Simplify right side
    580,018.86x = 273,099,884,311.37
  5. Step 5: Solve for x
    x = 273,099,884,311.37/580,018.86
  6. Step 6: Final answer
    x = 470,846.56

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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.