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Finding the Fourth Proportional to 306,110.40, 459,165.60 and 199,822.20

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Solution

The fourth proportional to 306,110.40, 459,165.60 and 199,822.20 is: 299,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,110.40 : 459,165.60 = 199,822.20 : x
  2. Step 2: Convert to fraction form
    306,110.40/459,165.60 = 199,822.20/x
  3. Step 3: Cross multiply
    306,110.40x = 459,165.60 × 199,822.20
  4. Step 4: Simplify right side
    306,110.40x = 91,751,480,356.32
  5. Step 5: Solve for x
    x = 91,751,480,356.32/306,110.40
  6. Step 6: Final answer
    x = 299,733.30

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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.