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Finding the Fourth Proportional to 380,072.98, 570,261.75 and 143,482.78

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Solution

The fourth proportional to 380,072.98, 570,261.75 and 143,482.78 is: 215,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,072.98 : 570,261.75 = 143,482.78 : x
  2. Step 2: Convert to fraction form
    380,072.98/570,261.75 = 143,482.78/x
  3. Step 3: Cross multiply
    380,072.98x = 570,261.75 × 143,482.78
  4. Step 4: Simplify right side
    380,072.98x = 81,822,741,217.67
  5. Step 5: Solve for x
    x = 81,822,741,217.67/380,072.98
  6. Step 6: Final answer
    x = 215,281.66

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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.