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Finding the Fourth Proportional to 611,211.12, 843,372.64 and 353,047

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Solution

The fourth proportional to 611,211.12, 843,372.64 and 353,047 is: 487,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,211.12 : 843,372.64 = 353,047 : x
  2. Step 2: Convert to fraction form
    611,211.12/843,372.64 = 353,047/x
  3. Step 3: Cross multiply
    611,211.12x = 843,372.64 × 353,047
  4. Step 4: Simplify right side
    611,211.12x = 297,750,180,434.08
  5. Step 5: Solve for x
    x = 297,750,180,434.08/611,211.12
  6. Step 6: Final answer
    x = 487,147.85

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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.