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Finding the Fourth Proportional to 419,275.72, 578,610.90 and 228,299.59

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Solution

The fourth proportional to 419,275.72, 578,610.90 and 228,299.59 is: 315,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,275.72 : 578,610.90 = 228,299.59 : x
  2. Step 2: Convert to fraction form
    419,275.72/578,610.90 = 228,299.59/x
  3. Step 3: Cross multiply
    419,275.72x = 578,610.90 × 228,299.59
  4. Step 4: Simplify right side
    419,275.72x = 132,096,627,204.98
  5. Step 5: Solve for x
    x = 132,096,627,204.98/419,275.72
  6. Step 6: Final answer
    x = 315,059.09

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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.