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Finding the Fourth Proportional to 324,148.61, 486,205.34 and 99,509.09

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Solution

The fourth proportional to 324,148.61, 486,205.34 and 99,509.09 is: 149,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,148.61 : 486,205.34 = 99,509.09 : x
  2. Step 2: Convert to fraction form
    324,148.61/486,205.34 = 99,509.09/x
  3. Step 3: Cross multiply
    324,148.61x = 486,205.34 × 99,509.09
  4. Step 4: Simplify right side
    324,148.61x = 48,381,848,754.29
  5. Step 5: Solve for x
    x = 48,381,848,754.29/324,148.61
  6. Step 6: Final answer
    x = 149,258.23

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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.