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Finding the Fourth Proportional to 427,065.37, 589,440.32 and 355,375.51

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Solution

The fourth proportional to 427,065.37, 589,440.32 and 355,375.51 is: 490,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,065.37 : 589,440.32 = 355,375.51 : x
  2. Step 2: Convert to fraction form
    427,065.37/589,440.32 = 355,375.51/x
  3. Step 3: Cross multiply
    427,065.37x = 589,440.32 × 355,375.51
  4. Step 4: Simplify right side
    427,065.37x = 209,472,654,334.56
  5. Step 5: Solve for x
    x = 209,472,654,334.56/427,065.37
  6. Step 6: Final answer
    x = 490,493.19

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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.