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Finding the Fourth Proportional to 409,310.16, 613,935.27 and 128,907.60

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Solution

The fourth proportional to 409,310.16, 613,935.27 and 128,907.60 is: 193,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,310.16 : 613,935.27 = 128,907.60 : x
  2. Step 2: Convert to fraction form
    409,310.16/613,935.27 = 128,907.60/x
  3. Step 3: Cross multiply
    409,310.16x = 613,935.27 × 128,907.60
  4. Step 4: Simplify right side
    409,310.16x = 79,140,922,211.05
  5. Step 5: Solve for x
    x = 79,140,922,211.05/409,310.16
  6. Step 6: Final answer
    x = 193,351.96

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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.