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Finding the Fourth Proportional to 392,992.40, 588,322.20 and 260,022.80

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Solution

The fourth proportional to 392,992.40, 588,322.20 and 260,022.80 is: 389,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,992.40 : 588,322.20 = 260,022.80 : x
  2. Step 2: Convert to fraction form
    392,992.40/588,322.20 = 260,022.80/x
  3. Step 3: Cross multiply
    392,992.40x = 588,322.20 × 260,022.80
  4. Step 4: Simplify right side
    392,992.40x = 152,977,185,746.16
  5. Step 5: Solve for x
    x = 152,977,185,746.16/392,992.40
  6. Step 6: Final answer
    x = 389,262.45

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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.