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Finding the Fourth Proportional to 564,856, 847,634.16 and 328,310.08

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Solution

The fourth proportional to 564,856, 847,634.16 and 328,310.08 is: 492,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,856 : 847,634.16 = 328,310.08 : x
  2. Step 2: Convert to fraction form
    564,856/847,634.16 = 328,310.08/x
  3. Step 3: Cross multiply
    564,856x = 847,634.16 × 328,310.08
  4. Step 4: Simplify right side
    564,856x = 278,286,838,880.33
  5. Step 5: Solve for x
    x = 278,286,838,880.33/564,856
  6. Step 6: Final answer
    x = 492,668.64

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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.