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Finding the Fourth Proportional to 405,421.39, 559,497.27 and 269,220.48

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Solution

The fourth proportional to 405,421.39, 559,497.27 and 269,220.48 is: 371,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,421.39 : 559,497.27 = 269,220.48 : x
  2. Step 2: Convert to fraction form
    405,421.39/559,497.27 = 269,220.48/x
  3. Step 3: Cross multiply
    405,421.39x = 559,497.27 × 269,220.48
  4. Step 4: Simplify right side
    405,421.39x = 150,628,123,588.09
  5. Step 5: Solve for x
    x = 150,628,123,588.09/405,421.39
  6. Step 6: Final answer
    x = 371,534.72

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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.