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Finding the Fourth Proportional to 308,806.40, 463,235.20 and 98,438.40

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Solution

The fourth proportional to 308,806.40, 463,235.20 and 98,438.40 is: 147,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,806.40 : 463,235.20 = 98,438.40 : x
  2. Step 2: Convert to fraction form
    308,806.40/463,235.20 = 98,438.40/x
  3. Step 3: Cross multiply
    308,806.40x = 463,235.20 × 98,438.40
  4. Step 4: Simplify right side
    308,806.40x = 45,600,131,911.68
  5. Step 5: Solve for x
    x = 45,600,131,911.68/308,806.40
  6. Step 6: Final answer
    x = 147,665.76

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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.