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Finding the Fourth Proportional to 330,513.89, 495,782.60 and 105,845.13

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Solution

The fourth proportional to 330,513.89, 495,782.60 and 105,845.13 is: 158,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,513.89 : 495,782.60 = 105,845.13 : x
  2. Step 2: Convert to fraction form
    330,513.89/495,782.60 = 105,845.13/x
  3. Step 3: Cross multiply
    330,513.89x = 495,782.60 × 105,845.13
  4. Step 4: Simplify right side
    330,513.89x = 52,476,173,219.51
  5. Step 5: Solve for x
    x = 52,476,173,219.51/330,513.89
  6. Step 6: Final answer
    x = 158,771.46

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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.