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Finding the Fourth Proportional to 421,961.52, 582,307.08 and 230,976

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Solution

The fourth proportional to 421,961.52, 582,307.08 and 230,976 is: 318,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,961.52 : 582,307.08 = 230,976 : x
  2. Step 2: Convert to fraction form
    421,961.52/582,307.08 = 230,976/x
  3. Step 3: Cross multiply
    421,961.52x = 582,307.08 × 230,976
  4. Step 4: Simplify right side
    421,961.52x = 134,498,960,110.08
  5. Step 5: Solve for x
    x = 134,498,960,110.08/421,961.52
  6. Step 6: Final answer
    x = 318,746.98

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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.