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Finding the Fourth Proportional to 871,006, 1,306,591.44 and 338,568.16

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Solution

The fourth proportional to 871,006, 1,306,591.44 and 338,568.16 is: 507,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,006 : 1,306,591.44 = 338,568.16 : x
  2. Step 2: Convert to fraction form
    871,006/1,306,591.44 = 338,568.16/x
  3. Step 3: Cross multiply
    871,006x = 1,306,591.44 × 338,568.16
  4. Step 4: Simplify right side
    871,006x = 442,370,259,712.55
  5. Step 5: Solve for x
    x = 442,370,259,712.55/871,006
  6. Step 6: Final answer
    x = 507,884.29

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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.