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Finding the Fourth Proportional to 378,619.68, 567,763.76 and 141,796.28

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Solution

The fourth proportional to 378,619.68, 567,763.76 and 141,796.28 is: 212,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,619.68 : 567,763.76 = 141,796.28 : x
  2. Step 2: Convert to fraction form
    378,619.68/567,763.76 = 141,796.28/x
  3. Step 3: Cross multiply
    378,619.68x = 567,763.76 × 141,796.28
  4. Step 4: Simplify right side
    378,619.68x = 80,506,789,086.81
  5. Step 5: Solve for x
    x = 80,506,789,086.81/378,619.68
  6. Step 6: Final answer
    x = 212,632.34

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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.