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Finding the Fourth Proportional to 405,259.40, 559,327.44 and 235,591.88

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Solution

The fourth proportional to 405,259.40, 559,327.44 and 235,591.88 is: 325,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,259.40 : 559,327.44 = 235,591.88 : x
  2. Step 2: Convert to fraction form
    405,259.40/559,327.44 = 235,591.88/x
  3. Step 3: Cross multiply
    405,259.40x = 559,327.44 × 235,591.88
  4. Step 4: Simplify right side
    405,259.40x = 131,773,003,125.19
  5. Step 5: Solve for x
    x = 131,773,003,125.19/405,259.40
  6. Step 6: Final answer
    x = 325,157.18

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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.