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Finding the Fourth Proportional to 294,765.57, 442,241.82 and 105,221.87

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Solution

The fourth proportional to 294,765.57, 442,241.82 and 105,221.87 is: 157,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,765.57 : 442,241.82 = 105,221.87 : x
  2. Step 2: Convert to fraction form
    294,765.57/442,241.82 = 105,221.87/x
  3. Step 3: Cross multiply
    294,765.57x = 442,241.82 × 105,221.87
  4. Step 4: Simplify right side
    294,765.57x = 46,533,512,864.45
  5. Step 5: Solve for x
    x = 46,533,512,864.45/294,765.57
  6. Step 6: Final answer
    x = 157,866.17

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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.