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Finding the Fourth Proportional to 527,269.65, 727,628.46 and 285,546.69

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Solution

The fourth proportional to 527,269.65, 727,628.46 and 285,546.69 is: 394,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,269.65 : 727,628.46 = 285,546.69 : x
  2. Step 2: Convert to fraction form
    527,269.65/727,628.46 = 285,546.69/x
  3. Step 3: Cross multiply
    527,269.65x = 727,628.46 × 285,546.69
  4. Step 4: Simplify right side
    527,269.65x = 207,771,898,302.80
  5. Step 5: Solve for x
    x = 207,771,898,302.80/527,269.65
  6. Step 6: Final answer
    x = 394,052.45

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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.