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Finding the Fourth Proportional to 309,998.88, 427,803.12 and 299,271.60

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Solution

The fourth proportional to 309,998.88, 427,803.12 and 299,271.60 is: 412,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,998.88 : 427,803.12 = 299,271.60 : x
  2. Step 2: Convert to fraction form
    309,998.88/427,803.12 = 299,271.60/x
  3. Step 3: Cross multiply
    309,998.88x = 427,803.12 × 299,271.60
  4. Step 4: Simplify right side
    309,998.88x = 128,029,324,207.39
  5. Step 5: Solve for x
    x = 128,029,324,207.39/309,998.88
  6. Step 6: Final answer
    x = 412,999.31

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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.