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Finding the Fourth Proportional to 380,614.88, 570,743.58 and 220,736.24

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Solution

The fourth proportional to 380,614.88, 570,743.58 and 220,736.24 is: 331,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,614.88 : 570,743.58 = 220,736.24 : x
  2. Step 2: Convert to fraction form
    380,614.88/570,743.58 = 220,736.24/x
  3. Step 3: Cross multiply
    380,614.88x = 570,743.58 × 220,736.24
  4. Step 4: Simplify right side
    380,614.88x = 125,983,791,853.34
  5. Step 5: Solve for x
    x = 125,983,791,853.34/380,614.88
  6. Step 6: Final answer
    x = 331,000.70

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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.