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Finding the Fourth Proportional to 475,172.49, 655,738.02 and 284,185.88

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Solution

The fourth proportional to 475,172.49, 655,738.02 and 284,185.88 is: 392,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,172.49 : 655,738.02 = 284,185.88 : x
  2. Step 2: Convert to fraction form
    475,172.49/655,738.02 = 284,185.88/x
  3. Step 3: Cross multiply
    475,172.49x = 655,738.02 × 284,185.88
  4. Step 4: Simplify right side
    475,172.49x = 186,351,482,984.47
  5. Step 5: Solve for x
    x = 186,351,482,984.47/475,172.49
  6. Step 6: Final answer
    x = 392,176.50

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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.