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Finding the Fourth Proportional to 392,428.80, 588,643.20 and 364,435.20

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Solution

The fourth proportional to 392,428.80, 588,643.20 and 364,435.20 is: 546,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,428.80 : 588,643.20 = 364,435.20 : x
  2. Step 2: Convert to fraction form
    392,428.80/588,643.20 = 364,435.20/x
  3. Step 3: Cross multiply
    392,428.80x = 588,643.20 × 364,435.20
  4. Step 4: Simplify right side
    392,428.80x = 214,522,302,320.64
  5. Step 5: Solve for x
    x = 214,522,302,320.64/392,428.80
  6. Step 6: Final answer
    x = 546,652.80

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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.