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Finding the Fourth Proportional to 589,709.44, 813,155.92 and 398,390.64

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Solution

The fourth proportional to 589,709.44, 813,155.92 and 398,390.64 is: 549,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,709.44 : 813,155.92 = 398,390.64 : x
  2. Step 2: Convert to fraction form
    589,709.44/813,155.92 = 398,390.64/x
  3. Step 3: Cross multiply
    589,709.44x = 813,155.92 × 398,390.64
  4. Step 4: Simplify right side
    589,709.44x = 323,953,707,388.59
  5. Step 5: Solve for x
    x = 323,953,707,388.59/589,709.44
  6. Step 6: Final answer
    x = 549,344.62

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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.