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Finding the Fourth Proportional to 419,503.46, 578,911.82 and 228,516.85

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Solution

The fourth proportional to 419,503.46, 578,911.82 and 228,516.85 is: 315,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,503.46 : 578,911.82 = 228,516.85 : x
  2. Step 2: Convert to fraction form
    419,503.46/578,911.82 = 228,516.85/x
  3. Step 3: Cross multiply
    419,503.46x = 578,911.82 × 228,516.85
  4. Step 4: Simplify right side
    419,503.46x = 132,291,105,972.16
  5. Step 5: Solve for x
    x = 132,291,105,972.16/419,503.46
  6. Step 6: Final answer
    x = 315,351.65

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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.