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Finding the Fourth Proportional to 421,915.17, 582,220.47 and 230,891.64

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Solution

The fourth proportional to 421,915.17, 582,220.47 and 230,891.64 is: 318,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,915.17 : 582,220.47 = 230,891.64 : x
  2. Step 2: Convert to fraction form
    421,915.17/582,220.47 = 230,891.64/x
  3. Step 3: Cross multiply
    421,915.17x = 582,220.47 × 230,891.64
  4. Step 4: Simplify right side
    421,915.17x = 134,429,839,159.87
  5. Step 5: Solve for x
    x = 134,429,839,159.87/421,915.17
  6. Step 6: Final answer
    x = 318,618.17

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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.