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Finding the Fourth Proportional to 405,141.40, 559,106.43 and 223,865.08

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Solution

The fourth proportional to 405,141.40, 559,106.43 and 223,865.08 is: 308,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,141.40 : 559,106.43 = 223,865.08 : x
  2. Step 2: Convert to fraction form
    405,141.40/559,106.43 = 223,865.08/x
  3. Step 3: Cross multiply
    405,141.40x = 559,106.43 × 223,865.08
  4. Step 4: Simplify right side
    405,141.40x = 125,164,405,680.46
  5. Step 5: Solve for x
    x = 125,164,405,680.46/405,141.40
  6. Step 6: Final answer
    x = 308,940.05

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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.