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Finding the Fourth Proportional to 308,658.20, 463,070.49 and 128,683.80

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Solution

The fourth proportional to 308,658.20, 463,070.49 and 128,683.80 is: 193,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,658.20 : 463,070.49 = 128,683.80 : x
  2. Step 2: Convert to fraction form
    308,658.20/463,070.49 = 128,683.80/x
  3. Step 3: Cross multiply
    308,658.20x = 463,070.49 × 128,683.80
  4. Step 4: Simplify right side
    308,658.20x = 59,589,669,677.64
  5. Step 5: Solve for x
    x = 59,589,669,677.64/308,658.20
  6. Step 6: Final answer
    x = 193,060.38

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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.