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Finding the Fourth Proportional to 294,523.60, 442,015.80 and 136,771.60

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Solution

The fourth proportional to 294,523.60, 442,015.80 and 136,771.60 is: 205,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,523.60 : 442,015.80 = 136,771.60 : x
  2. Step 2: Convert to fraction form
    294,523.60/442,015.80 = 136,771.60/x
  3. Step 3: Cross multiply
    294,523.60x = 442,015.80 × 136,771.60
  4. Step 4: Simplify right side
    294,523.60x = 60,455,208,191.28
  5. Step 5: Solve for x
    x = 60,455,208,191.28/294,523.60
  6. Step 6: Final answer
    x = 205,264.39

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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.