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Finding the Fourth Proportional to 409,923, 615,202.02 and 284,444.28

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Solution

The fourth proportional to 409,923, 615,202.02 and 284,444.28 is: 426,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,923 : 615,202.02 = 284,444.28 : x
  2. Step 2: Convert to fraction form
    409,923/615,202.02 = 284,444.28/x
  3. Step 3: Cross multiply
    409,923x = 615,202.02 × 284,444.28
  4. Step 4: Simplify right side
    409,923x = 174,990,695,633.45
  5. Step 5: Solve for x
    x = 174,990,695,633.45/409,923
  6. Step 6: Final answer
    x = 426,886.75

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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.