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Finding the Fourth Proportional to 1,166,778, 1,750,167 and 378,810

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Solution

The fourth proportional to 1,166,778, 1,750,167 and 378,810 is: 568,215

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,778 : 1,750,167 = 378,810 : x
  2. Step 2: Convert to fraction form
    1,166,778/1,750,167 = 378,810/x
  3. Step 3: Cross multiply
    1,166,778x = 1,750,167 × 378,810
  4. Step 4: Simplify right side
    1,166,778x = 662,980,761,270
  5. Step 5: Solve for x
    x = 662,980,761,270/1,166,778
  6. Step 6: Final answer
    x = 568,215

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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.