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Finding the Fourth Proportional to 392,908.14, 589,774.41 and 348,215.40

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Solution

The fourth proportional to 392,908.14, 589,774.41 and 348,215.40 is: 522,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,908.14 : 589,774.41 = 348,215.40 : x
  2. Step 2: Convert to fraction form
    392,908.14/589,774.41 = 348,215.40/x
  3. Step 3: Cross multiply
    392,908.14x = 589,774.41 × 348,215.40
  4. Step 4: Simplify right side
    392,908.14x = 205,368,532,087.91
  5. Step 5: Solve for x
    x = 205,368,532,087.91/392,908.14
  6. Step 6: Final answer
    x = 522,688.41

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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.