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Finding the Fourth Proportional to 430,072.65, 645,186.60 and 177,214.95

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Solution

The fourth proportional to 430,072.65, 645,186.60 and 177,214.95 is: 265,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,072.65 : 645,186.60 = 177,214.95 : x
  2. Step 2: Convert to fraction form
    430,072.65/645,186.60 = 177,214.95/x
  3. Step 3: Cross multiply
    430,072.65x = 645,186.60 × 177,214.95
  4. Step 4: Simplify right side
    430,072.65x = 114,336,711,059.67
  5. Step 5: Solve for x
    x = 114,336,711,059.67/430,072.65
  6. Step 6: Final answer
    x = 265,854.41

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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.