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Finding the Fourth Proportional to 392,412.80, 541,503.04 and 213,560.96

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Solution

The fourth proportional to 392,412.80, 541,503.04 and 213,560.96 is: 294,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,412.80 : 541,503.04 = 213,560.96 : x
  2. Step 2: Convert to fraction form
    392,412.80/541,503.04 = 213,560.96/x
  3. Step 3: Cross multiply
    392,412.80x = 541,503.04 × 213,560.96
  4. Step 4: Simplify right side
    392,412.80x = 115,643,909,065.32
  5. Step 5: Solve for x
    x = 115,643,909,065.32/392,412.80
  6. Step 6: Final answer
    x = 294,699.64

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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.