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Finding the Fourth Proportional to 378,216, 566,941.14 and 245,180.70

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Solution

The fourth proportional to 378,216, 566,941.14 and 245,180.70 is: 367,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,216 : 566,941.14 = 245,180.70 : x
  2. Step 2: Convert to fraction form
    378,216/566,941.14 = 245,180.70/x
  3. Step 3: Cross multiply
    378,216x = 566,941.14 × 245,180.70
  4. Step 4: Simplify right side
    378,216x = 139,003,025,564.00
  5. Step 5: Solve for x
    x = 139,003,025,564.00/378,216
  6. Step 6: Final answer
    x = 367,522.86

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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.