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Finding the Fourth Proportional to 305,450.76, 457,992.06 and 136,940.58

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Solution

The fourth proportional to 305,450.76, 457,992.06 and 136,940.58 is: 205,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,450.76 : 457,992.06 = 136,940.58 : x
  2. Step 2: Convert to fraction form
    305,450.76/457,992.06 = 136,940.58/x
  3. Step 3: Cross multiply
    305,450.76x = 457,992.06 × 136,940.58
  4. Step 4: Simplify right side
    305,450.76x = 62,717,698,331.79
  5. Step 5: Solve for x
    x = 62,717,698,331.79/305,450.76
  6. Step 6: Final answer
    x = 205,328.34

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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.