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Finding the Fourth Proportional to 308,400.18, 461,881.74 and 299,887.28

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Solution

The fourth proportional to 308,400.18, 461,881.74 and 299,887.28 is: 449,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,400.18 : 461,881.74 = 299,887.28 : x
  2. Step 2: Convert to fraction form
    308,400.18/461,881.74 = 299,887.28/x
  3. Step 3: Cross multiply
    308,400.18x = 461,881.74 × 299,887.28
  4. Step 4: Simplify right side
    308,400.18x = 138,512,457,190.83
  5. Step 5: Solve for x
    x = 138,512,457,190.83/308,400.18
  6. Step 6: Final answer
    x = 449,132.22

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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.