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Finding the Fourth Proportional to 278,315.76, 384,076.80 and 150,991.68

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Solution

The fourth proportional to 278,315.76, 384,076.80 and 150,991.68 is: 208,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,315.76 : 384,076.80 = 150,991.68 : x
  2. Step 2: Convert to fraction form
    278,315.76/384,076.80 = 150,991.68/x
  3. Step 3: Cross multiply
    278,315.76x = 384,076.80 × 150,991.68
  4. Step 4: Simplify right side
    278,315.76x = 57,992,401,281.02
  5. Step 5: Solve for x
    x = 57,992,401,281.02/278,315.76
  6. Step 6: Final answer
    x = 208,369.09

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1.5x scale

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.