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Finding the Fourth Proportional to 385,450.59, 578,172.63 and 301,281.57

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Solution

The fourth proportional to 385,450.59, 578,172.63 and 301,281.57 is: 451,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,450.59 : 578,172.63 = 301,281.57 : x
  2. Step 2: Convert to fraction form
    385,450.59/578,172.63 = 301,281.57/x
  3. Step 3: Cross multiply
    385,450.59x = 578,172.63 × 301,281.57
  4. Step 4: Simplify right side
    385,450.59x = 174,192,757,697.43
  5. Step 5: Solve for x
    x = 174,192,757,697.43/385,450.59
  6. Step 6: Final answer
    x = 451,919.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.