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Finding the Fourth Proportional to 411,648.03, 617,826.74 and 285,376.95

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Solution

The fourth proportional to 411,648.03, 617,826.74 and 285,376.95 is: 428,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,648.03 : 617,826.74 = 285,376.95 : x
  2. Step 2: Convert to fraction form
    411,648.03/617,826.74 = 285,376.95/x
  3. Step 3: Cross multiply
    411,648.03x = 617,826.74 × 285,376.95
  4. Step 4: Simplify right side
    411,648.03x = 176,313,510,689.64
  5. Step 5: Solve for x
    x = 176,313,510,689.64/411,648.03
  6. Step 6: Final answer
    x = 428,311.32

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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.