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Finding the Fourth Proportional to 289,496.50, 399,505.18 and 162,172.06

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Solution

The fourth proportional to 289,496.50, 399,505.18 and 162,172.06 is: 223,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,496.50 : 399,505.18 = 162,172.06 : x
  2. Step 2: Convert to fraction form
    289,496.50/399,505.18 = 162,172.06/x
  3. Step 3: Cross multiply
    289,496.50x = 399,505.18 × 162,172.06
  4. Step 4: Simplify right side
    289,496.50x = 64,788,578,021.27
  5. Step 5: Solve for x
    x = 64,788,578,021.27/289,496.50
  6. Step 6: Final answer
    x = 223,797.45

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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.