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Finding the Fourth Proportional to 274,305.84, 411,455.79 and 208,152.24

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Solution

The fourth proportional to 274,305.84, 411,455.79 and 208,152.24 is: 312,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,305.84 : 411,455.79 = 208,152.24 : x
  2. Step 2: Convert to fraction form
    274,305.84/411,455.79 = 208,152.24/x
  3. Step 3: Cross multiply
    274,305.84x = 411,455.79 × 208,152.24
  4. Step 4: Simplify right side
    274,305.84x = 85,645,444,349.47
  5. Step 5: Solve for x
    x = 85,645,444,349.47/274,305.84
  6. Step 6: Final answer
    x = 312,226.11

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1.5x scale

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.