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Finding the Fourth Proportional to 417,974.12, 576,980.79 and 282,191.93

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Solution

The fourth proportional to 417,974.12, 576,980.79 and 282,191.93 is: 389,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,974.12 : 576,980.79 = 282,191.93 : x
  2. Step 2: Convert to fraction form
    417,974.12/576,980.79 = 282,191.93/x
  3. Step 3: Cross multiply
    417,974.12x = 576,980.79 × 282,191.93
  4. Step 4: Simplify right side
    417,974.12x = 162,819,322,703.03
  5. Step 5: Solve for x
    x = 162,819,322,703.03/417,974.12
  6. Step 6: Final answer
    x = 389,544.03

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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.