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Finding the Fourth Proportional to 309,809.09, 427,809.17 and 193,721.51

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Solution

The fourth proportional to 309,809.09, 427,809.17 and 193,721.51 is: 267,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,809.09 : 427,809.17 = 193,721.51 : x
  2. Step 2: Convert to fraction form
    309,809.09/427,809.17 = 193,721.51/x
  3. Step 3: Cross multiply
    309,809.09x = 427,809.17 × 193,721.51
  4. Step 4: Simplify right side
    309,809.09x = 82,875,835,296.59
  5. Step 5: Solve for x
    x = 82,875,835,296.59/309,809.09
  6. Step 6: Final answer
    x = 267,506.15

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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.