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Finding the Fourth Proportional to 309,505.44, 427,303.80 and 202,254.96

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Solution

The fourth proportional to 309,505.44, 427,303.80 and 202,254.96 is: 279,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,505.44 : 427,303.80 = 202,254.96 : x
  2. Step 2: Convert to fraction form
    309,505.44/427,303.80 = 202,254.96/x
  3. Step 3: Cross multiply
    309,505.44x = 427,303.80 × 202,254.96
  4. Step 4: Simplify right side
    309,505.44x = 86,424,312,976.85
  5. Step 5: Solve for x
    x = 86,424,312,976.85/309,505.44
  6. Step 6: Final answer
    x = 279,233.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.