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Finding the Fourth Proportional to 289,162.08, 399,068.64 and 161,835.84

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Solution

The fourth proportional to 289,162.08, 399,068.64 and 161,835.84 is: 223,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,162.08 : 399,068.64 = 161,835.84 : x
  2. Step 2: Convert to fraction form
    289,162.08/399,068.64 = 161,835.84/x
  3. Step 3: Cross multiply
    289,162.08x = 399,068.64 × 161,835.84
  4. Step 4: Simplify right side
    289,162.08x = 64,583,608,572.06
  5. Step 5: Solve for x
    x = 64,583,608,572.06/289,162.08
  6. Step 6: Final answer
    x = 223,347.43

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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.