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Finding the Fourth Proportional to 651,072.78, 978,105.90 and 459,388.38

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Solution

The fourth proportional to 651,072.78, 978,105.90 and 459,388.38 is: 690,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,072.78 : 978,105.90 = 459,388.38 : x
  2. Step 2: Convert to fraction form
    651,072.78/978,105.90 = 459,388.38/x
  3. Step 3: Cross multiply
    651,072.78x = 978,105.90 × 459,388.38
  4. Step 4: Simplify right side
    651,072.78x = 449,330,482,572.50
  5. Step 5: Solve for x
    x = 449,330,482,572.50/651,072.78
  6. Step 6: Final answer
    x = 690,138.64

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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.