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Finding the Fourth Proportional to 281,291.12, 388,104.98 and 160,388.31

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Solution

The fourth proportional to 281,291.12, 388,104.98 and 160,388.31 is: 221,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,291.12 : 388,104.98 = 160,388.31 : x
  2. Step 2: Convert to fraction form
    281,291.12/388,104.98 = 160,388.31/x
  3. Step 3: Cross multiply
    281,291.12x = 388,104.98 × 160,388.31
  4. Step 4: Simplify right side
    281,291.12x = 62,247,501,042.84
  5. Step 5: Solve for x
    x = 62,247,501,042.84/281,291.12
  6. Step 6: Final answer
    x = 221,292.10

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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.