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Finding the Fourth Proportional to 289,632.70, 399,671.31 and 162,283.69

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Solution

The fourth proportional to 289,632.70, 399,671.31 and 162,283.69 is: 223,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,632.70 : 399,671.31 = 162,283.69 : x
  2. Step 2: Convert to fraction form
    289,632.70/399,671.31 = 162,283.69/x
  3. Step 3: Cross multiply
    289,632.70x = 399,671.31 × 162,283.69
  4. Step 4: Simplify right side
    289,632.70x = 64,860,134,973.93
  5. Step 5: Solve for x
    x = 64,860,134,973.93/289,632.70
  6. Step 6: Final answer
    x = 223,939.27

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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.