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Finding the Fourth Proportional to 305,546, 458,345.64 and 125,642.36

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Solution

The fourth proportional to 305,546, 458,345.64 and 125,642.36 is: 188,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,546 : 458,345.64 = 125,642.36 : x
  2. Step 2: Convert to fraction form
    305,546/458,345.64 = 125,642.36/x
  3. Step 3: Cross multiply
    305,546x = 458,345.64 × 125,642.36
  4. Step 4: Simplify right side
    305,546x = 57,587,627,905.31
  5. Step 5: Solve for x
    x = 57,587,627,905.31/305,546
  6. Step 6: Final answer
    x = 188,474.49

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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.