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Finding the Fourth Proportional to 256,702.74, 384,689.04 and 121,622.82

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Solution

The fourth proportional to 256,702.74, 384,689.04 and 121,622.82 is: 182,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,702.74 : 384,689.04 = 121,622.82 : x
  2. Step 2: Convert to fraction form
    256,702.74/384,689.04 = 121,622.82/x
  3. Step 3: Cross multiply
    256,702.74x = 384,689.04 × 121,622.82
  4. Step 4: Simplify right side
    256,702.74x = 46,786,965,867.89
  5. Step 5: Solve for x
    x = 46,786,965,867.89/256,702.74
  6. Step 6: Final answer
    x = 182,261.26

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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.