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Finding the Fourth Proportional to 289,937.46, 435,031.32 and 156,911.58

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Solution

The fourth proportional to 289,937.46, 435,031.32 and 156,911.58 is: 235,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,937.46 : 435,031.32 = 156,911.58 : x
  2. Step 2: Convert to fraction form
    289,937.46/435,031.32 = 156,911.58/x
  3. Step 3: Cross multiply
    289,937.46x = 435,031.32 × 156,911.58
  4. Step 4: Simplify right side
    289,937.46x = 68,261,451,770.69
  5. Step 5: Solve for x
    x = 68,261,451,770.69/289,937.46
  6. Step 6: Final answer
    x = 235,435.09

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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.