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Finding the Fourth Proportional to 355,417.67, 533,181.89 and 213,229.53

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Solution

The fourth proportional to 355,417.67, 533,181.89 and 213,229.53 is: 319,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,417.67 : 533,181.89 = 213,229.53 : x
  2. Step 2: Convert to fraction form
    355,417.67/533,181.89 = 213,229.53/x
  3. Step 3: Cross multiply
    355,417.67x = 533,181.89 × 213,229.53
  4. Step 4: Simplify right side
    355,417.67x = 113,690,124,342.29
  5. Step 5: Solve for x
    x = 113,690,124,342.29/355,417.67
  6. Step 6: Final answer
    x = 319,877.52

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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.