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Finding the Fourth Proportional to 589,332.56, 813,065.60 and 385,499.84

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Solution

The fourth proportional to 589,332.56, 813,065.60 and 385,499.84 is: 531,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,332.56 : 813,065.60 = 385,499.84 : x
  2. Step 2: Convert to fraction form
    589,332.56/813,065.60 = 385,499.84/x
  3. Step 3: Cross multiply
    589,332.56x = 813,065.60 × 385,499.84
  4. Step 4: Simplify right side
    589,332.56x = 313,436,658,709.50
  5. Step 5: Solve for x
    x = 313,436,658,709.50/589,332.56
  6. Step 6: Final answer
    x = 531,850.23

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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.