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Finding the Fourth Proportional to 309,652.66, 427,411.38 and 202,239.37

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Solution

The fourth proportional to 309,652.66, 427,411.38 and 202,239.37 is: 279,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,652.66 : 427,411.38 = 202,239.37 : x
  2. Step 2: Convert to fraction form
    309,652.66/427,411.38 = 202,239.37/x
  3. Step 3: Cross multiply
    309,652.66x = 427,411.38 × 202,239.37
  4. Step 4: Simplify right side
    309,652.66x = 86,439,408,222.03
  5. Step 5: Solve for x
    x = 86,439,408,222.03/309,652.66
  6. Step 6: Final answer
    x = 279,149.57

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1.5x scale

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.