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Finding the Fourth Proportional to 209,314.80, 311,755.77 and 208,295.10

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Solution

The fourth proportional to 209,314.80, 311,755.77 and 208,295.10 is: 310,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,314.80 : 311,755.77 = 208,295.10 : x
  2. Step 2: Convert to fraction form
    209,314.80/311,755.77 = 208,295.10/x
  3. Step 3: Cross multiply
    209,314.80x = 311,755.77 × 208,295.10
  4. Step 4: Simplify right side
    209,314.80x = 64,937,199,287.73
  5. Step 5: Solve for x
    x = 64,937,199,287.73/209,314.80
  6. Step 6: Final answer
    x = 310,237.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.