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Finding the Fourth Proportional to 589,441.32, 813,429 and 321,169.32

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Solution

The fourth proportional to 589,441.32, 813,429 and 321,169.32 is: 443,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,441.32 : 813,429 = 321,169.32 : x
  2. Step 2: Convert to fraction form
    589,441.32/813,429 = 321,169.32/x
  3. Step 3: Cross multiply
    589,441.32x = 813,429 × 321,169.32
  4. Step 4: Simplify right side
    589,441.32x = 261,248,438,798.28
  5. Step 5: Solve for x
    x = 261,248,438,798.28/589,441.32
  6. Step 6: Final answer
    x = 443,213.65

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1.5x scale

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.