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Finding the Fourth Proportional to 587,912.50, 811,466.16 and 361,426.78

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Solution

The fourth proportional to 587,912.50, 811,466.16 and 361,426.78 is: 498,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,912.50 : 811,466.16 = 361,426.78 : x
  2. Step 2: Convert to fraction form
    587,912.50/811,466.16 = 361,426.78/x
  3. Step 3: Cross multiply
    587,912.50x = 811,466.16 × 361,426.78
  4. Step 4: Simplify right side
    587,912.50x = 293,285,601,287.77
  5. Step 5: Solve for x
    x = 293,285,601,287.77/587,912.50
  6. Step 6: Final answer
    x = 498,859.27

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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.