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Finding the Fourth Proportional to 305,723.88, 458,715.42 and 148,069.80

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Solution

The fourth proportional to 305,723.88, 458,715.42 and 148,069.80 is: 222,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,723.88 : 458,715.42 = 148,069.80 : x
  2. Step 2: Convert to fraction form
    305,723.88/458,715.42 = 148,069.80/x
  3. Step 3: Cross multiply
    305,723.88x = 458,715.42 × 148,069.80
  4. Step 4: Simplify right side
    305,723.88x = 67,921,900,496.32
  5. Step 5: Solve for x
    x = 67,921,900,496.32/305,723.88
  6. Step 6: Final answer
    x = 222,167.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.