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Finding the Fourth Proportional to 428,632.65, 642,817.71 and 296,362.89

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Solution

The fourth proportional to 428,632.65, 642,817.71 and 296,362.89 is: 444,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,632.65 : 642,817.71 = 296,362.89 : x
  2. Step 2: Convert to fraction form
    428,632.65/642,817.71 = 296,362.89/x
  3. Step 3: Cross multiply
    428,632.65x = 642,817.71 × 296,362.89
  4. Step 4: Simplify right side
    428,632.65x = 190,507,314,278.78
  5. Step 5: Solve for x
    x = 190,507,314,278.78/428,632.65
  6. Step 6: Final answer
    x = 444,453.58

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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.