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Finding the Fourth Proportional to 589,760, 813,588.48 and 398,840.32

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Solution

The fourth proportional to 589,760, 813,588.48 and 398,840.32 is: 550,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,760 : 813,588.48 = 398,840.32 : x
  2. Step 2: Convert to fraction form
    589,760/813,588.48 = 398,840.32/x
  3. Step 3: Cross multiply
    589,760x = 813,588.48 × 398,840.32
  4. Step 4: Simplify right side
    589,760x = 324,491,889,711.51
  5. Step 5: Solve for x
    x = 324,491,889,711.51/589,760
  6. Step 6: Final answer
    x = 550,210.07

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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.