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Finding the Fourth Proportional to 308,064.50, 462,149.30 and 137,348.16

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Solution

The fourth proportional to 308,064.50, 462,149.30 and 137,348.16 is: 206,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,064.50 : 462,149.30 = 137,348.16 : x
  2. Step 2: Convert to fraction form
    308,064.50/462,149.30 = 137,348.16/x
  3. Step 3: Cross multiply
    308,064.50x = 462,149.30 × 137,348.16
  4. Step 4: Simplify right side
    308,064.50x = 63,475,355,313.55
  5. Step 5: Solve for x
    x = 63,475,355,313.55/308,064.50
  6. Step 6: Final answer
    x = 206,045.67

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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.