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Finding the Fourth Proportional to 421,919.12, 632,879.16 and 155,564.24

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Solution

The fourth proportional to 421,919.12, 632,879.16 and 155,564.24 is: 233,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,919.12 : 632,879.16 = 155,564.24 : x
  2. Step 2: Convert to fraction form
    421,919.12/632,879.16 = 155,564.24/x
  3. Step 3: Cross multiply
    421,919.12x = 632,879.16 × 155,564.24
  4. Step 4: Simplify right side
    421,919.12x = 98,453,365,537.24
  5. Step 5: Solve for x
    x = 98,453,365,537.24/421,919.12
  6. Step 6: Final answer
    x = 233,346.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.