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Finding the Fourth Proportional to 312,999.80, 469,499.70 and 188,583.80

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Solution

The fourth proportional to 312,999.80, 469,499.70 and 188,583.80 is: 282,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,999.80 : 469,499.70 = 188,583.80 : x
  2. Step 2: Convert to fraction form
    312,999.80/469,499.70 = 188,583.80/x
  3. Step 3: Cross multiply
    312,999.80x = 469,499.70 × 188,583.80
  4. Step 4: Simplify right side
    312,999.80x = 88,540,037,524.86
  5. Step 5: Solve for x
    x = 88,540,037,524.86/312,999.80
  6. Step 6: Final answer
    x = 282,875.70

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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.