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Finding the Fourth Proportional to 405,138.65, 559,102.62 and 223,862.32

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Solution

The fourth proportional to 405,138.65, 559,102.62 and 223,862.32 is: 308,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,138.65 : 559,102.62 = 223,862.32 : x
  2. Step 2: Convert to fraction form
    405,138.65/559,102.62 = 223,862.32/x
  3. Step 3: Cross multiply
    405,138.65x = 559,102.62 × 223,862.32
  4. Step 4: Simplify right side
    405,138.65x = 125,162,006,835.77
  5. Step 5: Solve for x
    x = 125,162,006,835.77/405,138.65
  6. Step 6: Final answer
    x = 308,936.23

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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.