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Finding the Fourth Proportional to 419,203.62, 578,500.83 and 228,216.96

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Solution

The fourth proportional to 419,203.62, 578,500.83 and 228,216.96 is: 314,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,203.62 : 578,500.83 = 228,216.96 : x
  2. Step 2: Convert to fraction form
    419,203.62/578,500.83 = 228,216.96/x
  3. Step 3: Cross multiply
    419,203.62x = 578,500.83 × 228,216.96
  4. Step 4: Simplify right side
    419,203.62x = 132,023,700,780.08
  5. Step 5: Solve for x
    x = 132,023,700,780.08/419,203.62
  6. Step 6: Final answer
    x = 314,939.31

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1.5x scale

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.