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Finding the Fourth Proportional to 407,071.79, 610,667.84 and 140,760.80

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Solution

The fourth proportional to 407,071.79, 610,667.84 and 140,760.80 is: 211,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,071.79 : 610,667.84 = 140,760.80 : x
  2. Step 2: Convert to fraction form
    407,071.79/610,667.84 = 140,760.80/x
  3. Step 3: Cross multiply
    407,071.79x = 610,667.84 × 140,760.80
  4. Step 4: Simplify right side
    407,071.79x = 85,958,093,692.67
  5. Step 5: Solve for x
    x = 85,958,093,692.67/407,071.79
  6. Step 6: Final answer
    x = 211,162.00

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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.