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Finding the Fourth Proportional to 403,453.10, 606,491.85 and 285,938.30

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Solution

The fourth proportional to 403,453.10, 606,491.85 and 285,938.30 is: 429,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,453.10 : 606,491.85 = 285,938.30 : x
  2. Step 2: Convert to fraction form
    403,453.10/606,491.85 = 285,938.30/x
  3. Step 3: Cross multiply
    403,453.10x = 606,491.85 × 285,938.30
  4. Step 4: Simplify right side
    403,453.10x = 173,419,248,552.86
  5. Step 5: Solve for x
    x = 173,419,248,552.86/403,453.10
  6. Step 6: Final answer
    x = 429,837.44

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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.