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Finding the Fourth Proportional to 281,765.64, 388,832.34 and 154,441.47

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Solution

The fourth proportional to 281,765.64, 388,832.34 and 154,441.47 is: 213,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,765.64 : 388,832.34 = 154,441.47 : x
  2. Step 2: Convert to fraction form
    281,765.64/388,832.34 = 154,441.47/x
  3. Step 3: Cross multiply
    281,765.64x = 388,832.34 × 154,441.47
  4. Step 4: Simplify right side
    281,765.64x = 60,051,838,173.14
  5. Step 5: Solve for x
    x = 60,051,838,173.14/281,765.64
  6. Step 6: Final answer
    x = 213,126.90

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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.