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Finding the Fourth Proportional to 500,896.64, 691,254.08 and 274,542.72

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Solution

The fourth proportional to 500,896.64, 691,254.08 and 274,542.72 is: 378,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,896.64 : 691,254.08 = 274,542.72 : x
  2. Step 2: Convert to fraction form
    500,896.64/691,254.08 = 274,542.72/x
  3. Step 3: Cross multiply
    500,896.64x = 691,254.08 × 274,542.72
  4. Step 4: Simplify right side
    500,896.64x = 189,778,775,334.30
  5. Step 5: Solve for x
    x = 189,778,775,334.30/500,896.64
  6. Step 6: Final answer
    x = 378,878.12

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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.