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Finding the Fourth Proportional to 289,454.63, 399,447.41 and 162,132.98

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Solution

The fourth proportional to 289,454.63, 399,447.41 and 162,132.98 is: 223,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,454.63 : 399,447.41 = 162,132.98 : x
  2. Step 2: Convert to fraction form
    289,454.63/399,447.41 = 162,132.98/x
  3. Step 3: Cross multiply
    289,454.63x = 399,447.41 × 162,132.98
  4. Step 4: Simplify right side
    289,454.63x = 64,763,596,128.68
  5. Step 5: Solve for x
    x = 64,763,596,128.68/289,454.63
  6. Step 6: Final answer
    x = 223,743.52

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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.