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Finding the Fourth Proportional to 397,633.30, 548,717.57 and 216,345.95

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Solution

The fourth proportional to 397,633.30, 548,717.57 and 216,345.95 is: 298,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,633.30 : 548,717.57 = 216,345.95 : x
  2. Step 2: Convert to fraction form
    397,633.30/548,717.57 = 216,345.95/x
  3. Step 3: Cross multiply
    397,633.30x = 548,717.57 × 216,345.95
  4. Step 4: Simplify right side
    397,633.30x = 118,712,827,310.49
  5. Step 5: Solve for x
    x = 118,712,827,310.49/397,633.30
  6. Step 6: Final answer
    x = 298,548.50

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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.