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Finding the Fourth Proportional to 552,965.94, 828,120.30 and 315,588.96

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Solution

The fourth proportional to 552,965.94, 828,120.30 and 315,588.96 is: 472,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,965.94 : 828,120.30 = 315,588.96 : x
  2. Step 2: Convert to fraction form
    552,965.94/828,120.30 = 315,588.96/x
  3. Step 3: Cross multiply
    552,965.94x = 828,120.30 × 315,588.96
  4. Step 4: Simplify right side
    552,965.94x = 261,345,624,231.89
  5. Step 5: Solve for x
    x = 261,345,624,231.89/552,965.94
  6. Step 6: Final answer
    x = 472,625.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.