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Finding the Fourth Proportional to 589,247.83, 813,135.78 and 344,255.30

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Solution

The fourth proportional to 589,247.83, 813,135.78 and 344,255.30 is: 475,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,247.83 : 813,135.78 = 344,255.30 : x
  2. Step 2: Convert to fraction form
    589,247.83/813,135.78 = 344,255.30/x
  3. Step 3: Cross multiply
    589,247.83x = 813,135.78 × 344,255.30
  4. Step 4: Simplify right side
    589,247.83x = 279,926,300,868.21
  5. Step 5: Solve for x
    x = 279,926,300,868.21/589,247.83
  6. Step 6: Final answer
    x = 475,056.99

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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.