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Finding the Fourth Proportional to 324,011.60, 485,961.36 and 146,477.32

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Solution

The fourth proportional to 324,011.60, 485,961.36 and 146,477.32 is: 219,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,011.60 : 485,961.36 = 146,477.32 : x
  2. Step 2: Convert to fraction form
    324,011.60/485,961.36 = 146,477.32/x
  3. Step 3: Cross multiply
    324,011.60x = 485,961.36 × 146,477.32
  4. Step 4: Simplify right side
    324,011.60x = 71,182,317,636.36
  5. Step 5: Solve for x
    x = 71,182,317,636.36/324,011.60
  6. Step 6: Final answer
    x = 219,690.65

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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.