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Finding the Fourth Proportional to 419,175.47, 578,462.24 and 228,188.81

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Solution

The fourth proportional to 419,175.47, 578,462.24 and 228,188.81 is: 314,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,175.47 : 578,462.24 = 228,188.81 : x
  2. Step 2: Convert to fraction form
    419,175.47/578,462.24 = 228,188.81/x
  3. Step 3: Cross multiply
    419,175.47x = 578,462.24 × 228,188.81
  4. Step 4: Simplify right side
    419,175.47x = 131,998,612,192.16
  5. Step 5: Solve for x
    x = 131,998,612,192.16/419,175.47
  6. Step 6: Final answer
    x = 314,900.61

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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.