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Finding the Fourth Proportional to 256,702.02, 384,732 and 123,546.66

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Solution

The fourth proportional to 256,702.02, 384,732 and 123,546.66 is: 185,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,702.02 : 384,732 = 123,546.66 : x
  2. Step 2: Convert to fraction form
    256,702.02/384,732 = 123,546.66/x
  3. Step 3: Cross multiply
    256,702.02x = 384,732 × 123,546.66
  4. Step 4: Simplify right side
    256,702.02x = 47,532,353,595.12
  5. Step 5: Solve for x
    x = 47,532,353,595.12/256,702.02
  6. Step 6: Final answer
    x = 185,165.48

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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.