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Finding the Fourth Proportional to 405,686.88, 559,826.64 and 224,395.92

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Solution

The fourth proportional to 405,686.88, 559,826.64 and 224,395.92 is: 309,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686.88 : 559,826.64 = 224,395.92 : x
  2. Step 2: Convert to fraction form
    405,686.88/559,826.64 = 224,395.92/x
  3. Step 3: Cross multiply
    405,686.88x = 559,826.64 × 224,395.92
  4. Step 4: Simplify right side
    405,686.88x = 125,622,813,923.31
  5. Step 5: Solve for x
    x = 125,622,813,923.31/405,686.88
  6. Step 6: Final answer
    x = 309,654.61

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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.