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Finding the Fourth Proportional to 564,246, 846,418.21 and 143,521.88

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Solution

The fourth proportional to 564,246, 846,418.21 and 143,521.88 is: 215,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,246 : 846,418.21 = 143,521.88 : x
  2. Step 2: Convert to fraction form
    564,246/846,418.21 = 143,521.88/x
  3. Step 3: Cross multiply
    564,246x = 846,418.21 × 143,521.88
  4. Step 4: Simplify right side
    564,246x = 121,479,528,174.54
  5. Step 5: Solve for x
    x = 121,479,528,174.54/564,246
  6. Step 6: Final answer
    x = 215,295.33

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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.