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Finding the Fourth Proportional to 256,744.02, 385,151.06 and 106,949.28

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Solution

The fourth proportional to 256,744.02, 385,151.06 and 106,949.28 is: 160,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,744.02 : 385,151.06 = 106,949.28 : x
  2. Step 2: Convert to fraction form
    256,744.02/385,151.06 = 106,949.28/x
  3. Step 3: Cross multiply
    256,744.02x = 385,151.06 × 106,949.28
  4. Step 4: Simplify right side
    256,744.02x = 41,191,626,097.74
  5. Step 5: Solve for x
    x = 41,191,626,097.74/256,744.02
  6. Step 6: Final answer
    x = 160,438.51

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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.