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Finding the Fourth Proportional to 274,332.32, 411,495.52 and 208,178.72

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Solution

The fourth proportional to 274,332.32, 411,495.52 and 208,178.72 is: 312,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,332.32 : 411,495.52 = 208,178.72 : x
  2. Step 2: Convert to fraction form
    274,332.32/411,495.52 = 208,178.72/x
  3. Step 3: Cross multiply
    274,332.32x = 411,495.52 × 208,178.72
  4. Step 4: Simplify right side
    274,332.32x = 85,664,610,639.33
  5. Step 5: Solve for x
    x = 85,664,610,639.33/274,332.32
  6. Step 6: Final answer
    x = 312,265.83

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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.