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Finding the Fourth Proportional to 316,198.64, 473,675.88 and 209,511.92

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Solution

The fourth proportional to 316,198.64, 473,675.88 and 209,511.92 is: 313,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,198.64 : 473,675.88 = 209,511.92 : x
  2. Step 2: Convert to fraction form
    316,198.64/473,675.88 = 209,511.92/x
  3. Step 3: Cross multiply
    316,198.64x = 473,675.88 × 209,511.92
  4. Step 4: Simplify right side
    316,198.64x = 99,240,743,076.49
  5. Step 5: Solve for x
    x = 99,240,743,076.49/316,198.64
  6. Step 6: Final answer
    x = 313,855.69

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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.