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Finding the Fourth Proportional to 411,603.50, 617,478.68 and 145,518.50

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Solution

The fourth proportional to 411,603.50, 617,478.68 and 145,518.50 is: 218,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,603.50 : 617,478.68 = 145,518.50 : x
  2. Step 2: Convert to fraction form
    411,603.50/617,478.68 = 145,518.50/x
  3. Step 3: Cross multiply
    411,603.50x = 617,478.68 × 145,518.50
  4. Step 4: Simplify right side
    411,603.50x = 89,854,568,571.98
  5. Step 5: Solve for x
    x = 89,854,568,571.98/411,603.50
  6. Step 6: Final answer
    x = 218,303.71

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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.