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Finding the Fourth Proportional to 430,245.97, 645,368.65 and 130,725.38

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Solution

The fourth proportional to 430,245.97, 645,368.65 and 130,725.38 is: 196,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,245.97 : 645,368.65 = 130,725.38 : x
  2. Step 2: Convert to fraction form
    430,245.97/645,368.65 = 130,725.38/x
  3. Step 3: Cross multiply
    430,245.97x = 645,368.65 × 130,725.38
  4. Step 4: Simplify right side
    430,245.97x = 84,366,063,297.95
  5. Step 5: Solve for x
    x = 84,366,063,297.95/430,245.97
  6. Step 6: Final answer
    x = 196,087.98

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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.