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Finding the Fourth Proportional to 357,420.97, 492,824.23 and 266,619.30

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Solution

The fourth proportional to 357,420.97, 492,824.23 and 266,619.30 is: 367,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,420.97 : 492,824.23 = 266,619.30 : x
  2. Step 2: Convert to fraction form
    357,420.97/492,824.23 = 266,619.30/x
  3. Step 3: Cross multiply
    357,420.97x = 492,824.23 × 266,619.30
  4. Step 4: Simplify right side
    357,420.97x = 131,396,451,225.64
  5. Step 5: Solve for x
    x = 131,396,451,225.64/357,420.97
  6. Step 6: Final answer
    x = 367,623.79

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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.