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Finding the Fourth Proportional to 289,707.58, 434,454.81 and 100,120.06

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Solution

The fourth proportional to 289,707.58, 434,454.81 and 100,120.06 is: 150,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,707.58 : 434,454.81 = 100,120.06 : x
  2. Step 2: Convert to fraction form
    289,707.58/434,454.81 = 100,120.06/x
  3. Step 3: Cross multiply
    289,707.58x = 434,454.81 × 100,120.06
  4. Step 4: Simplify right side
    289,707.58x = 43,497,641,644.49
  5. Step 5: Solve for x
    x = 43,497,641,644.49/289,707.58
  6. Step 6: Final answer
    x = 150,143.26

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1.5x scale

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.