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Finding the Fourth Proportional to 289,852.90, 434,672.43 and 100,264.30

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Solution

The fourth proportional to 289,852.90, 434,672.43 and 100,264.30 is: 150,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,852.90 : 434,672.43 = 100,264.30 : x
  2. Step 2: Convert to fraction form
    289,852.90/434,672.43 = 100,264.30/x
  3. Step 3: Cross multiply
    289,852.90x = 434,672.43 × 100,264.30
  4. Step 4: Simplify right side
    289,852.90x = 43,582,126,923.25
  5. Step 5: Solve for x
    x = 43,582,126,923.25/289,852.90
  6. Step 6: Final answer
    x = 150,359.46

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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.