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Finding the Fourth Proportional to 419,099.58, 578,357.31 and 228,114.27

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Solution

The fourth proportional to 419,099.58, 578,357.31 and 228,114.27 is: 314,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,099.58 : 578,357.31 = 228,114.27 : x
  2. Step 2: Convert to fraction form
    419,099.58/578,357.31 = 228,114.27/x
  3. Step 3: Cross multiply
    419,099.58x = 578,357.31 × 228,114.27
  4. Step 4: Simplify right side
    419,099.58x = 131,931,555,569.81
  5. Step 5: Solve for x
    x = 131,931,555,569.81/419,099.58
  6. Step 6: Final answer
    x = 314,797.63

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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.