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Finding the Fourth Proportional to 419,493.72, 578,883.60 and 228,508.68

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Solution

The fourth proportional to 419,493.72, 578,883.60 and 228,508.68 is: 315,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,493.72 : 578,883.60 = 228,508.68 : x
  2. Step 2: Convert to fraction form
    419,493.72/578,883.60 = 228,508.68/x
  3. Step 3: Cross multiply
    419,493.72x = 578,883.60 × 228,508.68
  4. Step 4: Simplify right side
    419,493.72x = 132,279,927,309.65
  5. Step 5: Solve for x
    x = 132,279,927,309.65/419,493.72
  6. Step 6: Final answer
    x = 315,332.32

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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.