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Finding the Fourth Proportional to 419,035.50, 578,257.90 and 228,044.80

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Solution

The fourth proportional to 419,035.50, 578,257.90 and 228,044.80 is: 314,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,035.50 : 578,257.90 = 228,044.80 : x
  2. Step 2: Convert to fraction form
    419,035.50/578,257.90 = 228,044.80/x
  3. Step 3: Cross multiply
    419,035.50x = 578,257.90 × 228,044.80
  4. Step 4: Simplify right side
    419,035.50x = 131,868,707,153.92
  5. Step 5: Solve for x
    x = 131,868,707,153.92/419,035.50
  6. Step 6: Final answer
    x = 314,695.79

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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.