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Finding the Fourth Proportional to 324,984.64, 487,298.32 and 100,283.76

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Solution

The fourth proportional to 324,984.64, 487,298.32 and 100,283.76 is: 150,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,984.64 : 487,298.32 = 100,283.76 : x
  2. Step 2: Convert to fraction form
    324,984.64/487,298.32 = 100,283.76/x
  3. Step 3: Cross multiply
    324,984.64x = 487,298.32 × 100,283.76
  4. Step 4: Simplify right side
    324,984.64x = 48,868,107,771.28
  5. Step 5: Solve for x
    x = 48,868,107,771.28/324,984.64
  6. Step 6: Final answer
    x = 150,370.52

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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.