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Finding the Fourth Proportional to 305,823.36, 458,798.82 and 154,105.71

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Solution

The fourth proportional to 305,823.36, 458,798.82 and 154,105.71 is: 231,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,823.36 : 458,798.82 = 154,105.71 : x
  2. Step 2: Convert to fraction form
    305,823.36/458,798.82 = 154,105.71/x
  3. Step 3: Cross multiply
    305,823.36x = 458,798.82 × 154,105.71
  4. Step 4: Simplify right side
    305,823.36x = 70,703,517,903.26
  5. Step 5: Solve for x
    x = 70,703,517,903.26/305,823.36
  6. Step 6: Final answer
    x = 231,190.70

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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.