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Finding the Fourth Proportional to 538,500.36, 743,138.37 and 296,779.76

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Solution

The fourth proportional to 538,500.36, 743,138.37 and 296,779.76 is: 409,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,500.36 : 743,138.37 = 296,779.76 : x
  2. Step 2: Convert to fraction form
    538,500.36/743,138.37 = 296,779.76/x
  3. Step 3: Cross multiply
    538,500.36x = 743,138.37 × 296,779.76
  4. Step 4: Simplify right side
    538,500.36x = 220,548,423,379.70
  5. Step 5: Solve for x
    x = 220,548,423,379.70/538,500.36
  6. Step 6: Final answer
    x = 409,560.40

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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.