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Finding the Fourth Proportional to 465,257.44, 697,903.84 and 145,438.72

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Solution

The fourth proportional to 465,257.44, 697,903.84 and 145,438.72 is: 218,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,257.44 : 697,903.84 = 145,438.72 : x
  2. Step 2: Convert to fraction form
    465,257.44/697,903.84 = 145,438.72/x
  3. Step 3: Cross multiply
    465,257.44x = 697,903.84 × 145,438.72
  4. Step 4: Simplify right side
    465,257.44x = 101,502,241,172.69
  5. Step 5: Solve for x
    x = 101,502,241,172.69/465,257.44
  6. Step 6: Final answer
    x = 218,163.61

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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.