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Finding the Fourth Proportional to 369,744.28, 510,246.72 and 199,978

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Solution

The fourth proportional to 369,744.28, 510,246.72 and 199,978 is: 275,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,744.28 : 510,246.72 = 199,978 : x
  2. Step 2: Convert to fraction form
    369,744.28/510,246.72 = 199,978/x
  3. Step 3: Cross multiply
    369,744.28x = 510,246.72 × 199,978
  4. Step 4: Simplify right side
    369,744.28x = 102,038,118,572.16
  5. Step 5: Solve for x
    x = 102,038,118,572.16/369,744.28
  6. Step 6: Final answer
    x = 275,969.43

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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.