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Finding the Fourth Proportional to 499,413.80, 749,120.70 and 200,037.80

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Solution

The fourth proportional to 499,413.80, 749,120.70 and 200,037.80 is: 300,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,413.80 : 749,120.70 = 200,037.80 : x
  2. Step 2: Convert to fraction form
    499,413.80/749,120.70 = 200,037.80/x
  3. Step 3: Cross multiply
    499,413.80x = 749,120.70 × 200,037.80
  4. Step 4: Simplify right side
    499,413.80x = 149,852,456,762.46
  5. Step 5: Solve for x
    x = 149,852,456,762.46/499,413.80
  6. Step 6: Final answer
    x = 300,056.70

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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.