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Finding the Fourth Proportional to 349,715.20, 523,795.20 and 270,572.80

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Solution

The fourth proportional to 349,715.20, 523,795.20 and 270,572.80 is: 405,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,715.20 : 523,795.20 = 270,572.80 : x
  2. Step 2: Convert to fraction form
    349,715.20/523,795.20 = 270,572.80/x
  3. Step 3: Cross multiply
    349,715.20x = 523,795.20 × 270,572.80
  4. Step 4: Simplify right side
    349,715.20x = 141,724,733,890.56
  5. Step 5: Solve for x
    x = 141,724,733,890.56/349,715.20
  6. Step 6: Final answer
    x = 405,257.57

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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.