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Finding the Fourth Proportional to 419,493.85, 578,898.53 and 228,507.23

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Solution

The fourth proportional to 419,493.85, 578,898.53 and 228,507.23 is: 315,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,493.85 : 578,898.53 = 228,507.23 : x
  2. Step 2: Convert to fraction form
    419,493.85/578,898.53 = 228,507.23/x
  3. Step 3: Cross multiply
    419,493.85x = 578,898.53 × 228,507.23
  4. Step 4: Simplify right side
    419,493.85x = 132,282,499,541.37
  5. Step 5: Solve for x
    x = 132,282,499,541.37/419,493.85
  6. Step 6: Final answer
    x = 315,338.35

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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.