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Finding the Fourth Proportional to 482,290.56, 723,453.12 and 201,421.44

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Solution

The fourth proportional to 482,290.56, 723,453.12 and 201,421.44 is: 302,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,290.56 : 723,453.12 = 201,421.44 : x
  2. Step 2: Convert to fraction form
    482,290.56/723,453.12 = 201,421.44/x
  3. Step 3: Cross multiply
    482,290.56x = 723,453.12 × 201,421.44
  4. Step 4: Simplify right side
    482,290.56x = 145,718,969,202.89
  5. Step 5: Solve for x
    x = 145,718,969,202.89/482,290.56
  6. Step 6: Final answer
    x = 302,139.38

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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.