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Finding the Fourth Proportional to 270,590.85, 405,888.99 and 120,838.72

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Solution

The fourth proportional to 270,590.85, 405,888.99 and 120,838.72 is: 181,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,590.85 : 405,888.99 = 120,838.72 : x
  2. Step 2: Convert to fraction form
    270,590.85/405,888.99 = 120,838.72/x
  3. Step 3: Cross multiply
    270,590.85x = 405,888.99 × 120,838.72
  4. Step 4: Simplify right side
    270,590.85x = 49,047,106,013.69
  5. Step 5: Solve for x
    x = 49,047,106,013.69/270,590.85
  6. Step 6: Final answer
    x = 181,259.29

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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.