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Finding the Fourth Proportional to 285,898.50, 394,281.63 and 178,478.46

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Solution

The fourth proportional to 285,898.50, 394,281.63 and 178,478.46 is: 246,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,898.50 : 394,281.63 = 178,478.46 : x
  2. Step 2: Convert to fraction form
    285,898.50/394,281.63 = 178,478.46/x
  3. Step 3: Cross multiply
    285,898.50x = 394,281.63 × 178,478.46
  4. Step 4: Simplify right side
    285,898.50x = 70,370,778,128.69
  5. Step 5: Solve for x
    x = 70,370,778,128.69/285,898.50
  6. Step 6: Final answer
    x = 246,139.03

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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.