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Finding the Fourth Proportional to 428,666.04, 643,143.06 and 300,715.65

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Solution

The fourth proportional to 428,666.04, 643,143.06 and 300,715.65 is: 451,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,666.04 : 643,143.06 = 300,715.65 : x
  2. Step 2: Convert to fraction form
    428,666.04/643,143.06 = 300,715.65/x
  3. Step 3: Cross multiply
    428,666.04x = 643,143.06 × 300,715.65
  4. Step 4: Simplify right side
    428,666.04x = 193,403,183,330.89
  5. Step 5: Solve for x
    x = 193,403,183,330.89/428,666.04
  6. Step 6: Final answer
    x = 451,174.49

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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.