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Finding the Fourth Proportional to 392,041.44, 588,256.48 and 155,378.88

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Solution

The fourth proportional to 392,041.44, 588,256.48 and 155,378.88 is: 233,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,041.44 : 588,256.48 = 155,378.88 : x
  2. Step 2: Convert to fraction form
    392,041.44/588,256.48 = 155,378.88/x
  3. Step 3: Cross multiply
    392,041.44x = 588,256.48 × 155,378.88
  4. Step 4: Simplify right side
    392,041.44x = 91,402,633,015.14
  5. Step 5: Solve for x
    x = 91,402,633,015.14/392,041.44
  6. Step 6: Final answer
    x = 233,145.34

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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.