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Finding the Fourth Proportional to 289,731.43, 434,716.72 and 156,454.73

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Solution

The fourth proportional to 289,731.43, 434,716.72 and 156,454.73 is: 234,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,731.43 : 434,716.72 = 156,454.73 : x
  2. Step 2: Convert to fraction form
    289,731.43/434,716.72 = 156,454.73/x
  3. Step 3: Cross multiply
    289,731.43x = 434,716.72 × 156,454.73
  4. Step 4: Simplify right side
    289,731.43x = 68,013,488,564.83
  5. Step 5: Solve for x
    x = 68,013,488,564.83/289,731.43
  6. Step 6: Final answer
    x = 234,746.67

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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.