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Finding the Fourth Proportional to 527,096.70, 727,384.59 and 285,377.31

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Solution

The fourth proportional to 527,096.70, 727,384.59 and 285,377.31 is: 393,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,096.70 : 727,384.59 = 285,377.31 : x
  2. Step 2: Convert to fraction form
    527,096.70/727,384.59 = 285,377.31/x
  3. Step 3: Cross multiply
    527,096.70x = 727,384.59 × 285,377.31
  4. Step 4: Simplify right side
    527,096.70x = 207,579,057,629.65
  5. Step 5: Solve for x
    x = 207,579,057,629.65/527,096.70
  6. Step 6: Final answer
    x = 393,815.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.