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Finding the Fourth Proportional to 421,259.56, 581,164.14 and 294,009.64

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Solution

The fourth proportional to 421,259.56, 581,164.14 and 294,009.64 is: 405,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,259.56 : 581,164.14 = 294,009.64 : x
  2. Step 2: Convert to fraction form
    421,259.56/581,164.14 = 294,009.64/x
  3. Step 3: Cross multiply
    421,259.56x = 581,164.14 × 294,009.64
  4. Step 4: Simplify right side
    421,259.56x = 170,867,859,582.31
  5. Step 5: Solve for x
    x = 170,867,859,582.31/421,259.56
  6. Step 6: Final answer
    x = 405,611.83

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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.