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Finding the Fourth Proportional to 289,284.66, 399,254.70 and 161,968.44

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Solution

The fourth proportional to 289,284.66, 399,254.70 and 161,968.44 is: 223,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,284.66 : 399,254.70 = 161,968.44 : x
  2. Step 2: Convert to fraction form
    289,284.66/399,254.70 = 161,968.44/x
  3. Step 3: Cross multiply
    289,284.66x = 399,254.70 × 161,968.44
  4. Step 4: Simplify right side
    289,284.66x = 64,666,660,921.67
  5. Step 5: Solve for x
    x = 64,666,660,921.67/289,284.66
  6. Step 6: Final answer
    x = 223,539.89

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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.