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Finding the Fourth Proportional to 389,143.16, 536,978.22 and 287,224.28

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Solution

The fourth proportional to 389,143.16, 536,978.22 and 287,224.28 is: 396,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,143.16 : 536,978.22 = 287,224.28 : x
  2. Step 2: Convert to fraction form
    389,143.16/536,978.22 = 287,224.28/x
  3. Step 3: Cross multiply
    389,143.16x = 536,978.22 × 287,224.28
  4. Step 4: Simplify right side
    389,143.16x = 154,233,182,615.18
  5. Step 5: Solve for x
    x = 154,233,182,615.18/389,143.16
  6. Step 6: Final answer
    x = 396,340.47

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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.