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Finding the Fourth Proportional to 309,920.45, 427,657.35 and 173,969.36

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Solution

The fourth proportional to 309,920.45, 427,657.35 and 173,969.36 is: 240,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,920.45 : 427,657.35 = 173,969.36 : x
  2. Step 2: Convert to fraction form
    309,920.45/427,657.35 = 173,969.36/x
  3. Step 3: Cross multiply
    309,920.45x = 427,657.35 × 173,969.36
  4. Step 4: Simplify right side
    309,920.45x = 74,399,273,340.51
  5. Step 5: Solve for x
    x = 74,399,273,340.51/309,920.45
  6. Step 6: Final answer
    x = 240,059.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.