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Finding the Fourth Proportional to 571,401, 788,542.26 and 313,301.46

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Solution

The fourth proportional to 571,401, 788,542.26 and 313,301.46 is: 432,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,401 : 788,542.26 = 313,301.46 : x
  2. Step 2: Convert to fraction form
    571,401/788,542.26 = 313,301.46/x
  3. Step 3: Cross multiply
    571,401x = 788,542.26 × 313,301.46
  4. Step 4: Simplify right side
    571,401x = 247,051,441,329.70
  5. Step 5: Solve for x
    x = 247,051,441,329.70/571,401
  6. Step 6: Final answer
    x = 432,360.88

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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.