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Finding the Fourth Proportional to 516,462.94, 774,739.05 and 142,485.94

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Solution

The fourth proportional to 516,462.94, 774,739.05 and 142,485.94 is: 213,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,462.94 : 774,739.05 = 142,485.94 : x
  2. Step 2: Convert to fraction form
    516,462.94/774,739.05 = 142,485.94/x
  3. Step 3: Cross multiply
    516,462.94x = 774,739.05 × 142,485.94
  4. Step 4: Simplify right side
    516,462.94x = 110,389,421,793.96
  5. Step 5: Solve for x
    x = 110,389,421,793.96/516,462.94
  6. Step 6: Final answer
    x = 213,741.23

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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.