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Finding the Fourth Proportional to 213,091.40, 319,637.10 and 199,969.40

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Solution

The fourth proportional to 213,091.40, 319,637.10 and 199,969.40 is: 299,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,091.40 : 319,637.10 = 199,969.40 : x
  2. Step 2: Convert to fraction form
    213,091.40/319,637.10 = 199,969.40/x
  3. Step 3: Cross multiply
    213,091.40x = 319,637.10 × 199,969.40
  4. Step 4: Simplify right side
    213,091.40x = 63,917,639,104.74
  5. Step 5: Solve for x
    x = 63,917,639,104.74/213,091.40
  6. Step 6: Final answer
    x = 299,954.10

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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.