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Finding the Fourth Proportional to 289,141.92, 399,017.88 and 161,829.36

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Solution

The fourth proportional to 289,141.92, 399,017.88 and 161,829.36 is: 223,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,141.92 : 399,017.88 = 161,829.36 : x
  2. Step 2: Convert to fraction form
    289,141.92/399,017.88 = 161,829.36/x
  3. Step 3: Cross multiply
    289,141.92x = 399,017.88 × 161,829.36
  4. Step 4: Simplify right side
    289,141.92x = 64,572,808,148.96
  5. Step 5: Solve for x
    x = 64,572,808,148.96/289,141.92
  6. Step 6: Final answer
    x = 223,325.65

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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.