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Finding the Fourth Proportional to 430,675.69, 645,537.81 and 177,816.78

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Solution

The fourth proportional to 430,675.69, 645,537.81 and 177,816.78 is: 266,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,675.69 : 645,537.81 = 177,816.78 : x
  2. Step 2: Convert to fraction form
    430,675.69/645,537.81 = 177,816.78/x
  3. Step 3: Cross multiply
    430,675.69x = 645,537.81 × 177,816.78
  4. Step 4: Simplify right side
    430,675.69x = 114,787,454,742.45
  5. Step 5: Solve for x
    x = 114,787,454,742.45/430,675.69
  6. Step 6: Final answer
    x = 266,528.75

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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.