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Finding the Fourth Proportional to 405,872.57, 560,066.00 and 274,783.56

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Solution

The fourth proportional to 405,872.57, 560,066.00 and 274,783.56 is: 379,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,872.57 : 560,066.00 = 274,783.56 : x
  2. Step 2: Convert to fraction form
    405,872.57/560,066.00 = 274,783.56/x
  3. Step 3: Cross multiply
    405,872.57x = 560,066.00 × 274,783.56
  4. Step 4: Simplify right side
    405,872.57x = 153,896,927,941.04
  5. Step 5: Solve for x
    x = 153,896,927,941.04/405,872.57
  6. Step 6: Final answer
    x = 379,175.49

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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.