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Finding the Fourth Proportional to 419,422.73, 578,767.79 and 235,646.90

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Solution

The fourth proportional to 419,422.73, 578,767.79 and 235,646.90 is: 325,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,422.73 : 578,767.79 = 235,646.90 : x
  2. Step 2: Convert to fraction form
    419,422.73/578,767.79 = 235,646.90/x
  3. Step 3: Cross multiply
    419,422.73x = 578,767.79 × 235,646.90
  4. Step 4: Simplify right side
    419,422.73x = 136,384,835,399.01
  5. Step 5: Solve for x
    x = 136,384,835,399.01/419,422.73
  6. Step 6: Final answer
    x = 325,172.74

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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.