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Finding the Fourth Proportional to 446,878.40, 669,939.92 and 193,967.60

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Solution

The fourth proportional to 446,878.40, 669,939.92 and 193,967.60 is: 290,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,878.40 : 669,939.92 = 193,967.60 : x
  2. Step 2: Convert to fraction form
    446,878.40/669,939.92 = 193,967.60/x
  3. Step 3: Cross multiply
    446,878.40x = 669,939.92 × 193,967.60
  4. Step 4: Simplify right side
    446,878.40x = 129,946,638,426.59
  5. Step 5: Solve for x
    x = 129,946,638,426.59/446,878.40
  6. Step 6: Final answer
    x = 290,787.47

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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.