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Finding the Fourth Proportional to 589,457.16, 813,450.89 and 321,185.16

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Solution

The fourth proportional to 589,457.16, 813,450.89 and 321,185.16 is: 443,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,457.16 : 813,450.89 = 321,185.16 : x
  2. Step 2: Convert to fraction form
    589,457.16/813,450.89 = 321,185.16/x
  3. Step 3: Cross multiply
    589,457.16x = 813,450.89 × 321,185.16
  4. Step 4: Simplify right side
    589,457.16x = 261,268,354,256.79
  5. Step 5: Solve for x
    x = 261,268,354,256.79/589,457.16
  6. Step 6: Final answer
    x = 443,235.53

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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.