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Finding the Fourth Proportional to 308,738.24, 463,098.72 and 98,388.80

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Solution

The fourth proportional to 308,738.24, 463,098.72 and 98,388.80 is: 147,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,738.24 : 463,098.72 = 98,388.80 : x
  2. Step 2: Convert to fraction form
    308,738.24/463,098.72 = 98,388.80/x
  3. Step 3: Cross multiply
    308,738.24x = 463,098.72 × 98,388.80
  4. Step 4: Simplify right side
    308,738.24x = 45,563,727,342.34
  5. Step 5: Solve for x
    x = 45,563,727,342.34/308,738.24
  6. Step 6: Final answer
    x = 147,580.45

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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.