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Finding the Fourth Proportional to 289,057.80, 433,413.90 and 149,089.80

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Solution

The fourth proportional to 289,057.80, 433,413.90 and 149,089.80 is: 223,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,057.80 : 433,413.90 = 149,089.80 : x
  2. Step 2: Convert to fraction form
    289,057.80/433,413.90 = 149,089.80/x
  3. Step 3: Cross multiply
    289,057.80x = 433,413.90 × 149,089.80
  4. Step 4: Simplify right side
    289,057.80x = 64,617,591,668.22
  5. Step 5: Solve for x
    x = 64,617,591,668.22/289,057.80
  6. Step 6: Final answer
    x = 223,545.57

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1.5x scale

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.