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Finding the Fourth Proportional to 392,360.80, 588,541.20 and 313,628.80

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Solution

The fourth proportional to 392,360.80, 588,541.20 and 313,628.80 is: 470,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,360.80 : 588,541.20 = 313,628.80 : x
  2. Step 2: Convert to fraction form
    392,360.80/588,541.20 = 313,628.80/x
  3. Step 3: Cross multiply
    392,360.80x = 588,541.20 × 313,628.80
  4. Step 4: Simplify right side
    392,360.80x = 184,583,470,306.56
  5. Step 5: Solve for x
    x = 184,583,470,306.56/392,360.80
  6. Step 6: Final answer
    x = 470,443.20

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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.