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Finding the Fourth Proportional to 419,200.77, 578,478.92 and 228,214.83

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Solution

The fourth proportional to 419,200.77, 578,478.92 and 228,214.83 is: 314,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,200.77 : 578,478.92 = 228,214.83 : x
  2. Step 2: Convert to fraction form
    419,200.77/578,478.92 = 228,214.83/x
  3. Step 3: Cross multiply
    419,200.77x = 578,478.92 × 228,214.83
  4. Step 4: Simplify right side
    419,200.77x = 132,017,467,245.31
  5. Step 5: Solve for x
    x = 132,017,467,245.31/419,200.77
  6. Step 6: Final answer
    x = 314,926.59

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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.