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Finding the Fourth Proportional to 405,527.44, 559,403.40 and 235,742.80

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Solution

The fourth proportional to 405,527.44, 559,403.40 and 235,742.80 is: 325,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,527.44 : 559,403.40 = 235,742.80 : x
  2. Step 2: Convert to fraction form
    405,527.44/559,403.40 = 235,742.80/x
  3. Step 3: Cross multiply
    405,527.44x = 559,403.40 × 235,742.80
  4. Step 4: Simplify right side
    405,527.44x = 131,875,323,845.52
  5. Step 5: Solve for x
    x = 131,875,323,845.52/405,527.44
  6. Step 6: Final answer
    x = 325,194.58

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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.