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Finding the Fourth Proportional to 419,289.42, 578,979.03 and 405,732.30

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Solution

The fourth proportional to 419,289.42, 578,979.03 and 405,732.30 is: 560,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,289.42 : 578,979.03 = 405,732.30 : x
  2. Step 2: Convert to fraction form
    419,289.42/578,979.03 = 405,732.30/x
  3. Step 3: Cross multiply
    419,289.42x = 578,979.03 × 405,732.30
  4. Step 4: Simplify right side
    419,289.42x = 234,910,493,493.67
  5. Step 5: Solve for x
    x = 234,910,493,493.67/419,289.42
  6. Step 6: Final answer
    x = 560,258.58

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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.