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Finding the Fourth Proportional to 401,211.64, 601,286.10 and 334,783

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Solution

The fourth proportional to 401,211.64, 601,286.10 and 334,783 is: 501,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,211.64 : 601,286.10 = 334,783 : x
  2. Step 2: Convert to fraction form
    401,211.64/601,286.10 = 334,783/x
  3. Step 3: Cross multiply
    401,211.64x = 601,286.10 × 334,783
  4. Step 4: Simplify right side
    401,211.64x = 201,300,364,416.30
  5. Step 5: Solve for x
    x = 201,300,364,416.30/401,211.64
  6. Step 6: Final answer
    x = 501,731.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.