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Finding the Fourth Proportional to 289,904.40, 434,856.60 and 76,671.90

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Solution

The fourth proportional to 289,904.40, 434,856.60 and 76,671.90 is: 115,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,904.40 : 434,856.60 = 76,671.90 : x
  2. Step 2: Convert to fraction form
    289,904.40/434,856.60 = 76,671.90/x
  3. Step 3: Cross multiply
    289,904.40x = 434,856.60 × 76,671.90
  4. Step 4: Simplify right side
    289,904.40x = 33,341,281,749.54
  5. Step 5: Solve for x
    x = 33,341,281,749.54/289,904.40
  6. Step 6: Final answer
    x = 115,007.85

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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.