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Finding the Fourth Proportional to 421,965.52, 582,312.60 and 230,980

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Solution

The fourth proportional to 421,965.52, 582,312.60 and 230,980 is: 318,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,965.52 : 582,312.60 = 230,980 : x
  2. Step 2: Convert to fraction form
    421,965.52/582,312.60 = 230,980/x
  3. Step 3: Cross multiply
    421,965.52x = 582,312.60 × 230,980
  4. Step 4: Simplify right side
    421,965.52x = 134,502,564,348
  5. Step 5: Solve for x
    x = 134,502,564,348/421,965.52
  6. Step 6: Final answer
    x = 318,752.50

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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.