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Finding the Fourth Proportional to 512,413.80, 768,735.90 and 301,943.40

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Solution

The fourth proportional to 512,413.80, 768,735.90 and 301,943.40 is: 452,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,413.80 : 768,735.90 = 301,943.40 : x
  2. Step 2: Convert to fraction form
    512,413.80/768,735.90 = 301,943.40/x
  3. Step 3: Cross multiply
    512,413.80x = 768,735.90 × 301,943.40
  4. Step 4: Simplify right side
    512,413.80x = 232,114,731,348.06
  5. Step 5: Solve for x
    x = 232,114,731,348.06/512,413.80
  6. Step 6: Final answer
    x = 452,982.98

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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.