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Finding the Fourth Proportional to 281,383.09, 388,345.62 and 160,496.62

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Solution

The fourth proportional to 281,383.09, 388,345.62 and 160,496.62 is: 221,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,383.09 : 388,345.62 = 160,496.62 : x
  2. Step 2: Convert to fraction form
    281,383.09/388,345.62 = 160,496.62/x
  3. Step 3: Cross multiply
    281,383.09x = 388,345.62 × 160,496.62
  4. Step 4: Simplify right side
    281,383.09x = 62,328,159,401.80
  5. Step 5: Solve for x
    x = 62,328,159,401.80/281,383.09
  6. Step 6: Final answer
    x = 221,506.41

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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.