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Finding the Fourth Proportional to 372,651.96, 514,269 and 202,895.40

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Solution

The fourth proportional to 372,651.96, 514,269 and 202,895.40 is: 280,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,651.96 : 514,269 = 202,895.40 : x
  2. Step 2: Convert to fraction form
    372,651.96/514,269 = 202,895.40/x
  3. Step 3: Cross multiply
    372,651.96x = 514,269 × 202,895.40
  4. Step 4: Simplify right side
    372,651.96x = 104,342,814,462.60
  5. Step 5: Solve for x
    x = 104,342,814,462.60/372,651.96
  6. Step 6: Final answer
    x = 280,000.71

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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.