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Finding the Fourth Proportional to 427,065.87, 589,441.01 and 355,376.01

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Solution

The fourth proportional to 427,065.87, 589,441.01 and 355,376.01 is: 490,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,065.87 : 589,441.01 = 355,376.01 : x
  2. Step 2: Convert to fraction form
    427,065.87/589,441.01 = 355,376.01/x
  3. Step 3: Cross multiply
    427,065.87x = 589,441.01 × 355,376.01
  4. Step 4: Simplify right side
    427,065.87x = 209,473,192,487.29
  5. Step 5: Solve for x
    x = 209,473,192,487.29/427,065.87
  6. Step 6: Final answer
    x = 490,493.87

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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.