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Finding the Fourth Proportional to 393,825.60, 590,738.40 and 363,412.80

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Solution

The fourth proportional to 393,825.60, 590,738.40 and 363,412.80 is: 545,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,825.60 : 590,738.40 = 363,412.80 : x
  2. Step 2: Convert to fraction form
    393,825.60/590,738.40 = 363,412.80/x
  3. Step 3: Cross multiply
    393,825.60x = 590,738.40 × 363,412.80
  4. Step 4: Simplify right side
    393,825.60x = 214,681,896,011.52
  5. Step 5: Solve for x
    x = 214,681,896,011.52/393,825.60
  6. Step 6: Final answer
    x = 545,119.20

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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.