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Finding the Fourth Proportional to 289,931.84, 434,793.60 and 100,340.76

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Solution

The fourth proportional to 289,931.84, 434,793.60 and 100,340.76 is: 150,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,931.84 : 434,793.60 = 100,340.76 : x
  2. Step 2: Convert to fraction form
    289,931.84/434,793.60 = 100,340.76/x
  3. Step 3: Cross multiply
    289,931.84x = 434,793.60 × 100,340.76
  4. Step 4: Simplify right side
    289,931.84x = 43,627,520,267.14
  5. Step 5: Solve for x
    x = 43,627,520,267.14/289,931.84
  6. Step 6: Final answer
    x = 150,475.09

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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.