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Finding the Fourth Proportional to 378,401.40, 567,604.16 and 97,918.65

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Solution

The fourth proportional to 378,401.40, 567,604.16 and 97,918.65 is: 146,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,401.40 : 567,604.16 = 97,918.65 : x
  2. Step 2: Convert to fraction form
    378,401.40/567,604.16 = 97,918.65/x
  3. Step 3: Cross multiply
    378,401.40x = 567,604.16 × 97,918.65
  4. Step 4: Simplify right side
    378,401.40x = 55,579,034,011.00
  5. Step 5: Solve for x
    x = 55,579,034,011.00/378,401.40
  6. Step 6: Final answer
    x = 146,878.51

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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.