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Finding the Fourth Proportional to 589,424.25, 813,405.48 and 321,152.25

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Solution

The fourth proportional to 589,424.25, 813,405.48 and 321,152.25 is: 443,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,424.25 : 813,405.48 = 321,152.25 : x
  2. Step 2: Convert to fraction form
    589,424.25/813,405.48 = 321,152.25/x
  3. Step 3: Cross multiply
    589,424.25x = 813,405.48 × 321,152.25
  4. Step 4: Simplify right side
    589,424.25x = 261,227,000,064.33
  5. Step 5: Solve for x
    x = 261,227,000,064.33/589,424.25
  6. Step 6: Final answer
    x = 443,190.11

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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.