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Finding the Fourth Proportional to 252,437.78, 378,401.16 and 163,747.64

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Solution

The fourth proportional to 252,437.78, 378,401.16 and 163,747.64 is: 245,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,437.78 : 378,401.16 = 163,747.64 : x
  2. Step 2: Convert to fraction form
    252,437.78/378,401.16 = 163,747.64/x
  3. Step 3: Cross multiply
    252,437.78x = 378,401.16 × 163,747.64
  4. Step 4: Simplify right side
    252,437.78x = 61,962,296,923.26
  5. Step 5: Solve for x
    x = 61,962,296,923.26/252,437.78
  6. Step 6: Final answer
    x = 245,455.72

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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.