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Finding the Fourth Proportional to 580,073.08, 800,459.94 and 321,963.16

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Solution

The fourth proportional to 580,073.08, 800,459.94 and 321,963.16 is: 444,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,073.08 : 800,459.94 = 321,963.16 : x
  2. Step 2: Convert to fraction form
    580,073.08/800,459.94 = 321,963.16/x
  3. Step 3: Cross multiply
    580,073.08x = 800,459.94 × 321,963.16
  4. Step 4: Simplify right side
    580,073.08x = 257,718,611,735.81
  5. Step 5: Solve for x
    x = 257,718,611,735.81/580,073.08
  6. Step 6: Final answer
    x = 444,286.45

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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.