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Finding the Fourth Proportional to 213,809.25, 320,713.87 and 98,392.09

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Solution

The fourth proportional to 213,809.25, 320,713.87 and 98,392.09 is: 147,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,809.25 : 320,713.87 = 98,392.09 : x
  2. Step 2: Convert to fraction form
    213,809.25/320,713.87 = 98,392.09/x
  3. Step 3: Cross multiply
    213,809.25x = 320,713.87 × 98,392.09
  4. Step 4: Simplify right side
    213,809.25x = 31,555,707,955.61
  5. Step 5: Solve for x
    x = 31,555,707,955.61/213,809.25
  6. Step 6: Final answer
    x = 147,588.13

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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.