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Finding the Fourth Proportional to 208,999.40, 313,499.10 and 204,852.20

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Solution

The fourth proportional to 208,999.40, 313,499.10 and 204,852.20 is: 307,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.40 : 313,499.10 = 204,852.20 : x
  2. Step 2: Convert to fraction form
    208,999.40/313,499.10 = 204,852.20/x
  3. Step 3: Cross multiply
    208,999.40x = 313,499.10 × 204,852.20
  4. Step 4: Simplify right side
    208,999.40x = 64,220,980,333.02
  5. Step 5: Solve for x
    x = 64,220,980,333.02/208,999.40
  6. Step 6: Final answer
    x = 307,278.30

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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.