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Finding the Fourth Proportional to 407,704.38, 611,667.33 and 141,485.66

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Solution

The fourth proportional to 407,704.38, 611,667.33 and 141,485.66 is: 212,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,704.38 : 611,667.33 = 141,485.66 : x
  2. Step 2: Convert to fraction form
    407,704.38/611,667.33 = 141,485.66/x
  3. Step 3: Cross multiply
    407,704.38x = 611,667.33 × 141,485.66
  4. Step 4: Simplify right side
    407,704.38x = 86,542,155,885.49
  5. Step 5: Solve for x
    x = 86,542,155,885.49/407,704.38
  6. Step 6: Final answer
    x = 212,266.93

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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.