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Finding the Fourth Proportional to 308,400.66, 462,260.91 and 201,740.34

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Solution

The fourth proportional to 308,400.66, 462,260.91 and 201,740.34 is: 302,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,400.66 : 462,260.91 = 201,740.34 : x
  2. Step 2: Convert to fraction form
    308,400.66/462,260.91 = 201,740.34/x
  3. Step 3: Cross multiply
    308,400.66x = 462,260.91 × 201,740.34
  4. Step 4: Simplify right side
    308,400.66x = 93,256,673,152.11
  5. Step 5: Solve for x
    x = 93,256,673,152.11/308,400.66
  6. Step 6: Final answer
    x = 302,388.05

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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.