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Finding the Fourth Proportional to 380,290.62, 570,470.49 and 114,040.38

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Solution

The fourth proportional to 380,290.62, 570,470.49 and 114,040.38 is: 171,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,290.62 : 570,470.49 = 114,040.38 : x
  2. Step 2: Convert to fraction form
    380,290.62/570,470.49 = 114,040.38/x
  3. Step 3: Cross multiply
    380,290.62x = 570,470.49 × 114,040.38
  4. Step 4: Simplify right side
    380,290.62x = 65,056,671,458.39
  5. Step 5: Solve for x
    x = 65,056,671,458.39/380,290.62
  6. Step 6: Final answer
    x = 171,070.93

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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.