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Finding the Fourth Proportional to 289,409.94, 434,156.94 and 89,746.43

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Solution

The fourth proportional to 289,409.94, 434,156.94 and 89,746.43 is: 134,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,409.94 : 434,156.94 = 89,746.43 : x
  2. Step 2: Convert to fraction form
    289,409.94/434,156.94 = 89,746.43/x
  3. Step 3: Cross multiply
    289,409.94x = 434,156.94 × 89,746.43
  4. Step 4: Simplify right side
    289,409.94x = 38,964,033,253.94
  5. Step 5: Solve for x
    x = 38,964,033,253.94/289,409.94
  6. Step 6: Final answer
    x = 134,632.67

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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.