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Finding the Fourth Proportional to 213,044.20, 319,643.10 and 205,364.20

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Solution

The fourth proportional to 213,044.20, 319,643.10 and 205,364.20 is: 308,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,044.20 : 319,643.10 = 205,364.20 : x
  2. Step 2: Convert to fraction form
    213,044.20/319,643.10 = 205,364.20/x
  3. Step 3: Cross multiply
    213,044.20x = 319,643.10 × 205,364.20
  4. Step 4: Simplify right side
    213,044.20x = 65,643,249,517.02
  5. Step 5: Solve for x
    x = 65,643,249,517.02/213,044.20
  6. Step 6: Final answer
    x = 308,120.33

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1.5x scale

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.