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Finding the Fourth Proportional to 289,628.94, 434,501.93 and 100,096.23

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Solution

The fourth proportional to 289,628.94, 434,501.93 and 100,096.23 is: 150,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,628.94 : 434,501.93 = 100,096.23 : x
  2. Step 2: Convert to fraction form
    289,628.94/434,501.93 = 100,096.23/x
  3. Step 3: Cross multiply
    289,628.94x = 434,501.93 × 100,096.23
  4. Step 4: Simplify right side
    289,628.94x = 43,492,005,120.72
  5. Step 5: Solve for x
    x = 43,492,005,120.72/289,628.94
  6. Step 6: Final answer
    x = 150,164.57

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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.