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Finding the Fourth Proportional to 405,620.79, 559,739.76 and 221,856.39

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Solution

The fourth proportional to 405,620.79, 559,739.76 and 221,856.39 is: 306,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,620.79 : 559,739.76 = 221,856.39 : x
  2. Step 2: Convert to fraction form
    405,620.79/559,739.76 = 221,856.39/x
  3. Step 3: Cross multiply
    405,620.79x = 559,739.76 × 221,856.39
  4. Step 4: Simplify right side
    405,620.79x = 124,181,842,493.07
  5. Step 5: Solve for x
    x = 124,181,842,493.07/405,620.79
  6. Step 6: Final answer
    x = 306,152.56

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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.