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Finding the Fourth Proportional to 589,300.92, 813,238.38 and 344,428.20

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Solution

The fourth proportional to 589,300.92, 813,238.38 and 344,428.20 is: 475,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,300.92 : 813,238.38 = 344,428.20 : x
  2. Step 2: Convert to fraction form
    589,300.92/813,238.38 = 344,428.20/x
  3. Step 3: Cross multiply
    589,300.92x = 813,238.38 × 344,428.20
  4. Step 4: Simplify right side
    589,300.92x = 280,102,231,394.32
  5. Step 5: Solve for x
    x = 280,102,231,394.32/589,300.92
  6. Step 6: Final answer
    x = 475,312.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.