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Finding the Fourth Proportional to 392,898.96, 589,760.73 and 348,206.28

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Solution

The fourth proportional to 392,898.96, 589,760.73 and 348,206.28 is: 522,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,898.96 : 589,760.73 = 348,206.28 : x
  2. Step 2: Convert to fraction form
    392,898.96/589,760.73 = 348,206.28/x
  3. Step 3: Cross multiply
    392,898.96x = 589,760.73 × 348,206.28
  4. Step 4: Simplify right side
    392,898.96x = 205,358,389,883.38
  5. Step 5: Solve for x
    x = 205,358,389,883.38/392,898.96
  6. Step 6: Final answer
    x = 522,674.81

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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.