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Finding the Fourth Proportional to 405,144.40, 559,097 and 223,856.40

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Solution

The fourth proportional to 405,144.40, 559,097 and 223,856.40 is: 308,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,144.40 : 559,097 = 223,856.40 : x
  2. Step 2: Convert to fraction form
    405,144.40/559,097 = 223,856.40/x
  3. Step 3: Cross multiply
    405,144.40x = 559,097 × 223,856.40
  4. Step 4: Simplify right side
    405,144.40x = 125,157,441,670.80
  5. Step 5: Solve for x
    x = 125,157,441,670.80/405,144.40
  6. Step 6: Final answer
    x = 308,920.58

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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.