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Finding the Fourth Proportional to 355,861.89, 491,041.04 and 212,591.52

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Solution

The fourth proportional to 355,861.89, 491,041.04 and 212,591.52 is: 293,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,861.89 : 491,041.04 = 212,591.52 : x
  2. Step 2: Convert to fraction form
    355,861.89/491,041.04 = 212,591.52/x
  3. Step 3: Cross multiply
    355,861.89x = 491,041.04 × 212,591.52
  4. Step 4: Simplify right side
    355,861.89x = 104,391,160,013.02
  5. Step 5: Solve for x
    x = 104,391,160,013.02/355,861.89
  6. Step 6: Final answer
    x = 293,347.40

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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.