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Finding the Fourth Proportional to 351,297.86, 484,800.47 and 213,429.86

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Solution

The fourth proportional to 351,297.86, 484,800.47 and 213,429.86 is: 294,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,297.86 : 484,800.47 = 213,429.86 : x
  2. Step 2: Convert to fraction form
    351,297.86/484,800.47 = 213,429.86/x
  3. Step 3: Cross multiply
    351,297.86x = 484,800.47 × 213,429.86
  4. Step 4: Simplify right side
    351,297.86x = 103,470,892,948.88
  5. Step 5: Solve for x
    x = 103,470,892,948.88/351,297.86
  6. Step 6: Final answer
    x = 294,538.93

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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.