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Finding the Fourth Proportional to 516,462.72, 774,738.70 and 142,485.72

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Solution

The fourth proportional to 516,462.72, 774,738.70 and 142,485.72 is: 213,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,462.72 : 774,738.70 = 142,485.72 : x
  2. Step 2: Convert to fraction form
    516,462.72/774,738.70 = 142,485.72/x
  3. Step 3: Cross multiply
    516,462.72x = 774,738.70 × 142,485.72
  4. Step 4: Simplify right side
    516,462.72x = 110,389,201,481.36
  5. Step 5: Solve for x
    x = 110,389,201,481.36/516,462.72
  6. Step 6: Final answer
    x = 213,740.89

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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.