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Finding the Fourth Proportional to 286,706.89, 430,112.19 and 118,133.45

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Solution

The fourth proportional to 286,706.89, 430,112.19 and 118,133.45 is: 177,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,706.89 : 430,112.19 = 118,133.45 : x
  2. Step 2: Convert to fraction form
    286,706.89/430,112.19 = 118,133.45/x
  3. Step 3: Cross multiply
    286,706.89x = 430,112.19 × 118,133.45
  4. Step 4: Simplify right side
    286,706.89x = 50,810,636,891.76
  5. Step 5: Solve for x
    x = 50,810,636,891.76/286,706.89
  6. Step 6: Final answer
    x = 177,221.54

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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.