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Finding the Fourth Proportional to 405,743.44, 559,737.28 and 262,549.76

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Solution

The fourth proportional to 405,743.44, 559,737.28 and 262,549.76 is: 362,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,743.44 : 559,737.28 = 262,549.76 : x
  2. Step 2: Convert to fraction form
    405,743.44/559,737.28 = 262,549.76/x
  3. Step 3: Cross multiply
    405,743.44x = 559,737.28 × 262,549.76
  4. Step 4: Simplify right side
    405,743.44x = 146,958,888,527.05
  5. Step 5: Solve for x
    x = 146,958,888,527.05/405,743.44
  6. Step 6: Final answer
    x = 362,196.59

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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.