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Finding the Fourth Proportional to 324,434.43, 486,697.95 and 99,813.60

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Solution

The fourth proportional to 324,434.43, 486,697.95 and 99,813.60 is: 149,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,434.43 : 486,697.95 = 99,813.60 : x
  2. Step 2: Convert to fraction form
    324,434.43/486,697.95 = 99,813.60/x
  3. Step 3: Cross multiply
    324,434.43x = 486,697.95 × 99,813.60
  4. Step 4: Simplify right side
    324,434.43x = 48,579,074,502.12
  5. Step 5: Solve for x
    x = 48,579,074,502.12/324,434.43
  6. Step 6: Final answer
    x = 149,734.65

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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.