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Finding the Fourth Proportional to 401,210.64, 601,284.60 and 334,782

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Solution

The fourth proportional to 401,210.64, 601,284.60 and 334,782 is: 501,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,210.64 : 601,284.60 = 334,782 : x
  2. Step 2: Convert to fraction form
    401,210.64/601,284.60 = 334,782/x
  3. Step 3: Cross multiply
    401,210.64x = 601,284.60 × 334,782
  4. Step 4: Simplify right side
    401,210.64x = 201,299,260,957.20
  5. Step 5: Solve for x
    x = 201,299,260,957.20/401,210.64
  6. Step 6: Final answer
    x = 501,729.62

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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.