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Finding the Fourth Proportional to 274,305.34, 411,455.04 and 208,151.74

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Solution

The fourth proportional to 274,305.34, 411,455.04 and 208,151.74 is: 312,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,305.34 : 411,455.04 = 208,151.74 : x
  2. Step 2: Convert to fraction form
    274,305.34/411,455.04 = 208,151.74/x
  3. Step 3: Cross multiply
    274,305.34x = 411,455.04 × 208,151.74
  4. Step 4: Simplify right side
    274,305.34x = 85,645,082,507.77
  5. Step 5: Solve for x
    x = 85,645,082,507.77/274,305.34
  6. Step 6: Final answer
    x = 312,225.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.