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Finding the Fourth Proportional to 308,521.70, 462,840.41 and 140,053.80

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Solution

The fourth proportional to 308,521.70, 462,840.41 and 140,053.80 is: 210,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,521.70 : 462,840.41 = 140,053.80 : x
  2. Step 2: Convert to fraction form
    308,521.70/462,840.41 = 140,053.80/x
  3. Step 3: Cross multiply
    308,521.70x = 462,840.41 × 140,053.80
  4. Step 4: Simplify right side
    308,521.70x = 64,822,558,214.06
  5. Step 5: Solve for x
    x = 64,822,558,214.06/308,521.70
  6. Step 6: Final answer
    x = 210,106.97

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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.