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Finding the Fourth Proportional to 309,880.72, 427,594.26 and 173,909.44

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Solution

The fourth proportional to 309,880.72, 427,594.26 and 173,909.44 is: 239,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,880.72 : 427,594.26 = 173,909.44 : x
  2. Step 2: Convert to fraction form
    309,880.72/427,594.26 = 173,909.44/x
  3. Step 3: Cross multiply
    309,880.72x = 427,594.26 × 173,909.44
  4. Step 4: Simplify right side
    309,880.72x = 74,362,678,303.81
  5. Step 5: Solve for x
    x = 74,362,678,303.81/309,880.72
  6. Step 6: Final answer
    x = 239,971.94

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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.