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Finding the Fourth Proportional to 270,603.36, 405,907.80 and 120,851.28

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Solution

The fourth proportional to 270,603.36, 405,907.80 and 120,851.28 is: 181,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,603.36 : 405,907.80 = 120,851.28 : x
  2. Step 2: Convert to fraction form
    270,603.36/405,907.80 = 120,851.28/x
  3. Step 3: Cross multiply
    270,603.36x = 405,907.80 × 120,851.28
  4. Step 4: Simplify right side
    270,603.36x = 49,054,477,191.98
  5. Step 5: Solve for x
    x = 49,054,477,191.98/270,603.36
  6. Step 6: Final answer
    x = 181,278.15

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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.