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Finding the Fourth Proportional to 552,971.94, 828,129.30 and 315,594.96

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Solution

The fourth proportional to 552,971.94, 828,129.30 and 315,594.96 is: 472,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,971.94 : 828,129.30 = 315,594.96 : x
  2. Step 2: Convert to fraction form
    552,971.94/828,129.30 = 315,594.96/x
  3. Step 3: Cross multiply
    552,971.94x = 828,129.30 × 315,594.96
  4. Step 4: Simplify right side
    552,971.94x = 261,353,429,167.68
  5. Step 5: Solve for x
    x = 261,353,429,167.68/552,971.94
  6. Step 6: Final answer
    x = 472,634.17

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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.