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Finding the Fourth Proportional to 405,147.60, 559,100.42 and 223,858.80

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Solution

The fourth proportional to 405,147.60, 559,100.42 and 223,858.80 is: 308,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,147.60 : 559,100.42 = 223,858.80 : x
  2. Step 2: Convert to fraction form
    405,147.60/559,100.42 = 223,858.80/x
  3. Step 3: Cross multiply
    405,147.60x = 559,100.42 × 223,858.80
  4. Step 4: Simplify right side
    405,147.60x = 125,159,549,100.70
  5. Step 5: Solve for x
    x = 125,159,549,100.70/405,147.60
  6. Step 6: Final answer
    x = 308,923.34

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1.5x scale

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.