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Finding the Fourth Proportional to 576,143.34, 863,057.52 and 287,083.14

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Solution

The fourth proportional to 576,143.34, 863,057.52 and 287,083.14 is: 430,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,143.34 : 863,057.52 = 287,083.14 : x
  2. Step 2: Convert to fraction form
    576,143.34/863,057.52 = 287,083.14/x
  3. Step 3: Cross multiply
    576,143.34x = 863,057.52 × 287,083.14
  4. Step 4: Simplify right side
    576,143.34x = 247,769,262,842.21
  5. Step 5: Solve for x
    x = 247,769,262,842.21/576,143.34
  6. Step 6: Final answer
    x = 430,047.95

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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.