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Finding the Fourth Proportional to 405,728.94, 559,717.29 and 262,535.22

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Solution

The fourth proportional to 405,728.94, 559,717.29 and 262,535.22 is: 362,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,728.94 : 559,717.29 = 262,535.22 : x
  2. Step 2: Convert to fraction form
    405,728.94/559,717.29 = 262,535.22/x
  3. Step 3: Cross multiply
    405,728.94x = 559,717.29 × 262,535.22
  4. Step 4: Simplify right side
    405,728.94x = 146,945,501,867.95
  5. Step 5: Solve for x
    x = 146,945,501,867.95/405,728.94
  6. Step 6: Final answer
    x = 362,176.54

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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.