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Finding the Fourth Proportional to 430,674.69, 645,536.31 and 177,815.78

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Solution

The fourth proportional to 430,674.69, 645,536.31 and 177,815.78 is: 266,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,674.69 : 645,536.31 = 177,815.78 : x
  2. Step 2: Convert to fraction form
    430,674.69/645,536.31 = 177,815.78/x
  3. Step 3: Cross multiply
    430,674.69x = 645,536.31 × 177,815.78
  4. Step 4: Simplify right side
    430,674.69x = 114,786,539,253.29
  5. Step 5: Solve for x
    x = 114,786,539,253.29/430,674.69
  6. Step 6: Final answer
    x = 266,527.25

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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.