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Finding the Fourth Proportional to 405,872.36, 560,065.72 and 274,783.36

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Solution

The fourth proportional to 405,872.36, 560,065.72 and 274,783.36 is: 379,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,872.36 : 560,065.72 = 274,783.36 : x
  2. Step 2: Convert to fraction form
    405,872.36/560,065.72 = 274,783.36/x
  3. Step 3: Cross multiply
    405,872.36x = 560,065.72 × 274,783.36
  4. Step 4: Simplify right side
    405,872.36x = 153,896,740,362.42
  5. Step 5: Solve for x
    x = 153,896,740,362.42/405,872.36
  6. Step 6: Final answer
    x = 379,175.22

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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.