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Finding the Fourth Proportional to 308,802.36, 462,302.10 and 190,117.56

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Solution

The fourth proportional to 308,802.36, 462,302.10 and 190,117.56 is: 284,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,802.36 : 462,302.10 = 190,117.56 : x
  2. Step 2: Convert to fraction form
    308,802.36/462,302.10 = 190,117.56/x
  3. Step 3: Cross multiply
    308,802.36x = 462,302.10 × 190,117.56
  4. Step 4: Simplify right side
    308,802.36x = 87,891,747,234.88
  5. Step 5: Solve for x
    x = 87,891,747,234.88/308,802.36
  6. Step 6: Final answer
    x = 284,621.36

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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.