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Finding the Fourth Proportional to 294,811.60, 442,217.40 and 275,128.60

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Solution

The fourth proportional to 294,811.60, 442,217.40 and 275,128.60 is: 412,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,811.60 : 442,217.40 = 275,128.60 : x
  2. Step 2: Convert to fraction form
    294,811.60/442,217.40 = 275,128.60/x
  3. Step 3: Cross multiply
    294,811.60x = 442,217.40 × 275,128.60
  4. Step 4: Simplify right side
    294,811.60x = 121,666,654,157.64
  5. Step 5: Solve for x
    x = 121,666,654,157.64/294,811.60
  6. Step 6: Final answer
    x = 412,692.90

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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.