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Finding the Fourth Proportional to 366,976, 506,427.80 and 214,119.28

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Solution

The fourth proportional to 366,976, 506,427.80 and 214,119.28 is: 295,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,976 : 506,427.80 = 214,119.28 : x
  2. Step 2: Convert to fraction form
    366,976/506,427.80 = 214,119.28/x
  3. Step 3: Cross multiply
    366,976x = 506,427.80 × 214,119.28
  4. Step 4: Simplify right side
    366,976x = 108,435,955,907.98
  5. Step 5: Solve for x
    x = 108,435,955,907.98/366,976
  6. Step 6: Final answer
    x = 295,485.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.