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Finding the Fourth Proportional to 800,475.48, 1,200,624.48 and 201,436.80

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Solution

The fourth proportional to 800,475.48, 1,200,624.48 and 201,436.80 is: 302,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,475.48 : 1,200,624.48 = 201,436.80 : x
  2. Step 2: Convert to fraction form
    800,475.48/1,200,624.48 = 201,436.80/x
  3. Step 3: Cross multiply
    800,475.48x = 1,200,624.48 × 201,436.80
  4. Step 4: Simplify right side
    800,475.48x = 241,849,953,252.86
  5. Step 5: Solve for x
    x = 241,849,953,252.86/800,475.48
  6. Step 6: Final answer
    x = 302,132.87

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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.