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Finding the Fourth Proportional to 308,406.56, 461,330.44 and 289,510.88

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Solution

The fourth proportional to 308,406.56, 461,330.44 and 289,510.88 is: 433,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,406.56 : 461,330.44 = 289,510.88 : x
  2. Step 2: Convert to fraction form
    308,406.56/461,330.44 = 289,510.88/x
  3. Step 3: Cross multiply
    308,406.56x = 461,330.44 × 289,510.88
  4. Step 4: Simplify right side
    308,406.56x = 133,560,178,624.76
  5. Step 5: Solve for x
    x = 133,560,178,624.76/308,406.56
  6. Step 6: Final answer
    x = 433,065.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.