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Finding the Fourth Proportional to 571,518.10, 857,791.10 and 305,506

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Solution

The fourth proportional to 571,518.10, 857,791.10 and 305,506 is: 458,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,518.10 : 857,791.10 = 305,506 : x
  2. Step 2: Convert to fraction form
    571,518.10/857,791.10 = 305,506/x
  3. Step 3: Cross multiply
    571,518.10x = 857,791.10 × 305,506
  4. Step 4: Simplify right side
    571,518.10x = 262,060,327,796.60
  5. Step 5: Solve for x
    x = 262,060,327,796.60/571,518.10
  6. Step 6: Final answer
    x = 458,533.73

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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.