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Finding the Fourth Proportional to 571,703.24, 789,203.70 and 400,295

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Solution

The fourth proportional to 571,703.24, 789,203.70 and 400,295 is: 552,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,703.24 : 789,203.70 = 400,295 : x
  2. Step 2: Convert to fraction form
    571,703.24/789,203.70 = 400,295/x
  3. Step 3: Cross multiply
    571,703.24x = 789,203.70 × 400,295
  4. Step 4: Simplify right side
    571,703.24x = 315,914,295,091.50
  5. Step 5: Solve for x
    x = 315,914,295,091.50/571,703.24
  6. Step 6: Final answer
    x = 552,584.41

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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.