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Finding the Fourth Proportional to 756,330, 1,043,735.40 and 416,798.25

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Solution

The fourth proportional to 756,330, 1,043,735.40 and 416,798.25 is: 575,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,330 : 1,043,735.40 = 416,798.25 : x
  2. Step 2: Convert to fraction form
    756,330/1,043,735.40 = 416,798.25/x
  3. Step 3: Cross multiply
    756,330x = 1,043,735.40 × 416,798.25
  4. Step 4: Simplify right side
    756,330x = 435,027,088,183.05
  5. Step 5: Solve for x
    x = 435,027,088,183.05/756,330
  6. Step 6: Final answer
    x = 575,181.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.