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Finding the Fourth Proportional to 286,733, 427,321.45 and 271,803.08

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Solution

The fourth proportional to 286,733, 427,321.45 and 271,803.08 is: 405,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,733 : 427,321.45 = 271,803.08 : x
  2. Step 2: Convert to fraction form
    286,733/427,321.45 = 271,803.08/x
  3. Step 3: Cross multiply
    286,733x = 427,321.45 × 271,803.08
  4. Step 4: Simplify right side
    286,733x = 116,147,286,260.07
  5. Step 5: Solve for x
    x = 116,147,286,260.07/286,733
  6. Step 6: Final answer
    x = 405,071.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.