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Finding the Fourth Proportional to 380,686.50, 570,936.20 and 167,508

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Solution

The fourth proportional to 380,686.50, 570,936.20 and 167,508 is: 251,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,686.50 : 570,936.20 = 167,508 : x
  2. Step 2: Convert to fraction form
    380,686.50/570,936.20 = 167,508/x
  3. Step 3: Cross multiply
    380,686.50x = 570,936.20 × 167,508
  4. Step 4: Simplify right side
    380,686.50x = 95,636,380,152.06
  5. Step 5: Solve for x
    x = 95,636,380,152.06/380,686.50
  6. Step 6: Final answer
    x = 251,220.83

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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.