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Finding the Fourth Proportional to 290,160.38, 435,042.03 and 147,730.03

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Solution

The fourth proportional to 290,160.38, 435,042.03 and 147,730.03 is: 221,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,160.38 : 435,042.03 = 147,730.03 : x
  2. Step 2: Convert to fraction form
    290,160.38/435,042.03 = 147,730.03/x
  3. Step 3: Cross multiply
    290,160.38x = 435,042.03 × 147,730.03
  4. Step 4: Simplify right side
    290,160.38x = 64,268,770,570.82
  5. Step 5: Solve for x
    x = 64,268,770,570.82/290,160.38
  6. Step 6: Final answer
    x = 221,493.96

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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.