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Finding the Fourth Proportional to 289,766.74, 399,877.86 and 162,442.34

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Solution

The fourth proportional to 289,766.74, 399,877.86 and 162,442.34 is: 224,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,766.74 : 399,877.86 = 162,442.34 : x
  2. Step 2: Convert to fraction form
    289,766.74/399,877.86 = 162,442.34/x
  3. Step 3: Cross multiply
    289,766.74x = 399,877.86 × 162,442.34
  4. Step 4: Simplify right side
    289,766.74x = 64,957,095,292.59
  5. Step 5: Solve for x
    x = 64,957,095,292.59/289,766.74
  6. Step 6: Final answer
    x = 224,170.29

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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.