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Finding the Fourth Proportional to 550,013, 758,442.26 and 407,072.84

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Solution

The fourth proportional to 550,013, 758,442.26 and 407,072.84 is: 561,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,013 : 758,442.26 = 407,072.84 : x
  2. Step 2: Convert to fraction form
    550,013/758,442.26 = 407,072.84/x
  3. Step 3: Cross multiply
    550,013x = 758,442.26 × 407,072.84
  4. Step 4: Simplify right side
    550,013x = 308,741,244,754.22
  5. Step 5: Solve for x
    x = 308,741,244,754.22/550,013
  6. Step 6: Final answer
    x = 561,334.45

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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.