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Finding the Fourth Proportional to 547,020.98, 754,926.90 and 305,350.64

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Solution

The fourth proportional to 547,020.98, 754,926.90 and 305,350.64 is: 421,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,020.98 : 754,926.90 = 305,350.64 : x
  2. Step 2: Convert to fraction form
    547,020.98/754,926.90 = 305,350.64/x
  3. Step 3: Cross multiply
    547,020.98x = 754,926.90 × 305,350.64
  4. Step 4: Simplify right side
    547,020.98x = 230,517,412,068.22
  5. Step 5: Solve for x
    x = 230,517,412,068.22/547,020.98
  6. Step 6: Final answer
    x = 421,405.07

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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.