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Finding the Fourth Proportional to 405,417.56, 559,492.01 and 269,216.66

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Solution

The fourth proportional to 405,417.56, 559,492.01 and 269,216.66 is: 371,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,417.56 : 559,492.01 = 269,216.66 : x
  2. Step 2: Convert to fraction form
    405,417.56/559,492.01 = 269,216.66/x
  3. Step 3: Cross multiply
    405,417.56x = 559,492.01 × 269,216.66
  4. Step 4: Simplify right side
    405,417.56x = 150,624,571,291.10
  5. Step 5: Solve for x
    x = 150,624,571,291.10/405,417.56
  6. Step 6: Final answer
    x = 371,529.47

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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.