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Finding the Fourth Proportional to 289,731.19, 399,827.79 and 162,406.79

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Solution

The fourth proportional to 289,731.19, 399,827.79 and 162,406.79 is: 224,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,731.19 : 399,827.79 = 162,406.79 : x
  2. Step 2: Convert to fraction form
    289,731.19/399,827.79 = 162,406.79/x
  3. Step 3: Cross multiply
    289,731.19x = 399,827.79 × 162,406.79
  4. Step 4: Simplify right side
    289,731.19x = 64,934,747,926.69
  5. Step 5: Solve for x
    x = 64,934,747,926.69/289,731.19
  6. Step 6: Final answer
    x = 224,120.67

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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.