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Finding the Fourth Proportional to 552,688, 762,709.44 and 314,224

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Solution

The fourth proportional to 552,688, 762,709.44 and 314,224 is: 433,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,688 : 762,709.44 = 314,224 : x
  2. Step 2: Convert to fraction form
    552,688/762,709.44 = 314,224/x
  3. Step 3: Cross multiply
    552,688x = 762,709.44 × 314,224
  4. Step 4: Simplify right side
    552,688x = 239,661,611,074.56
  5. Step 5: Solve for x
    x = 239,661,611,074.56/552,688
  6. Step 6: Final answer
    x = 433,629.12

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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.