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Finding the Fourth Proportional to 289,783.82, 399,878.70 and 162,442.10

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Solution

The fourth proportional to 289,783.82, 399,878.70 and 162,442.10 is: 224,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783.82 : 399,878.70 = 162,442.10 : x
  2. Step 2: Convert to fraction form
    289,783.82/399,878.70 = 162,442.10/x
  3. Step 3: Cross multiply
    289,783.82x = 399,878.70 × 162,442.10
  4. Step 4: Simplify right side
    289,783.82x = 64,957,135,773.27
  5. Step 5: Solve for x
    x = 64,957,135,773.27/289,783.82
  6. Step 6: Final answer
    x = 224,157.22

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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.