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Finding the Fourth Proportional to 380,039.80, 570,059.70 and 155,252.65

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Solution

The fourth proportional to 380,039.80, 570,059.70 and 155,252.65 is: 232,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,039.80 : 570,059.70 = 155,252.65 : x
  2. Step 2: Convert to fraction form
    380,039.80/570,059.70 = 155,252.65/x
  3. Step 3: Cross multiply
    380,039.80x = 570,059.70 × 155,252.65
  4. Step 4: Simplify right side
    380,039.80x = 88,503,279,083.21
  5. Step 5: Solve for x
    x = 88,503,279,083.21/380,039.80
  6. Step 6: Final answer
    x = 232,878.98

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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.