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Finding the Fourth Proportional to 305,864.40, 458,796.60 and 128,717.40

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Solution

The fourth proportional to 305,864.40, 458,796.60 and 128,717.40 is: 193,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,864.40 : 458,796.60 = 128,717.40 : x
  2. Step 2: Convert to fraction form
    305,864.40/458,796.60 = 128,717.40/x
  3. Step 3: Cross multiply
    305,864.40x = 458,796.60 × 128,717.40
  4. Step 4: Simplify right side
    305,864.40x = 59,055,105,480.84
  5. Step 5: Solve for x
    x = 59,055,105,480.84/305,864.40
  6. Step 6: Final answer
    x = 193,076.10

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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.