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Finding the Fourth Proportional to 289,729.73, 434,719.47 and 156,703.63

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Solution

The fourth proportional to 289,729.73, 434,719.47 and 156,703.63 is: 235,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,729.73 : 434,719.47 = 156,703.63 : x
  2. Step 2: Convert to fraction form
    289,729.73/434,719.47 = 156,703.63/x
  3. Step 3: Cross multiply
    289,729.73x = 434,719.47 × 156,703.63
  4. Step 4: Simplify right side
    289,729.73x = 68,122,117,974.43
  5. Step 5: Solve for x
    x = 68,122,117,974.43/289,729.73
  6. Step 6: Final answer
    x = 235,122.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.