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Finding the Fourth Proportional to 256,603.22, 385,012.47 and 114,350.48

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Solution

The fourth proportional to 256,603.22, 385,012.47 and 114,350.48 is: 171,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,603.22 : 385,012.47 = 114,350.48 : x
  2. Step 2: Convert to fraction form
    256,603.22/385,012.47 = 114,350.48/x
  3. Step 3: Cross multiply
    256,603.22x = 385,012.47 × 114,350.48
  4. Step 4: Simplify right side
    256,603.22x = 44,026,361,898.90
  5. Step 5: Solve for x
    x = 44,026,361,898.90/256,603.22
  6. Step 6: Final answer
    x = 171,573.69

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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.