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Finding the Fourth Proportional to 289,851.90, 434,853.45 and 112,364.70

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Solution

The fourth proportional to 289,851.90, 434,853.45 and 112,364.70 is: 168,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,851.90 : 434,853.45 = 112,364.70 : x
  2. Step 2: Convert to fraction form
    289,851.90/434,853.45 = 112,364.70/x
  3. Step 3: Cross multiply
    289,851.90x = 434,853.45 × 112,364.70
  4. Step 4: Simplify right side
    289,851.90x = 48,862,177,453.22
  5. Step 5: Solve for x
    x = 48,862,177,453.22/289,851.90
  6. Step 6: Final answer
    x = 168,576.36

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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.