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Finding the Fourth Proportional to 357,067.65, 492,768.75 and 213,800.31

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Solution

The fourth proportional to 357,067.65, 492,768.75 and 213,800.31 is: 295,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,067.65 : 492,768.75 = 213,800.31 : x
  2. Step 2: Convert to fraction form
    357,067.65/492,768.75 = 213,800.31/x
  3. Step 3: Cross multiply
    357,067.65x = 492,768.75 × 213,800.31
  4. Step 4: Simplify right side
    357,067.65x = 105,354,111,508.31
  5. Step 5: Solve for x
    x = 105,354,111,508.31/357,067.65
  6. Step 6: Final answer
    x = 295,053.64

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1.5x scale

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.