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Finding the Fourth Proportional to 430,065, 645,175.33 and 177,204.87

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Solution

The fourth proportional to 430,065, 645,175.33 and 177,204.87 is: 265,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,065 : 645,175.33 = 177,204.87 : x
  2. Step 2: Convert to fraction form
    430,065/645,175.33 = 177,204.87/x
  3. Step 3: Cross multiply
    430,065x = 645,175.33 × 177,204.87
  4. Step 4: Simplify right side
    430,065x = 114,328,210,036.85
  5. Step 5: Solve for x
    x = 114,328,210,036.85/430,065
  6. Step 6: Final answer
    x = 265,839.37

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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.