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Finding the Fourth Proportional to 389,856.47, 538,006.41 and 228,714.26

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Solution

The fourth proportional to 389,856.47, 538,006.41 and 228,714.26 is: 315,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,856.47 : 538,006.41 = 228,714.26 : x
  2. Step 2: Convert to fraction form
    389,856.47/538,006.41 = 228,714.26/x
  3. Step 3: Cross multiply
    389,856.47x = 538,006.41 × 228,714.26
  4. Step 4: Simplify right side
    389,856.47x = 123,049,735,248.38
  5. Step 5: Solve for x
    x = 123,049,735,248.38/389,856.47
  6. Step 6: Final answer
    x = 315,628.31

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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.