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Finding the Fourth Proportional to 279,511.54, 385,728.69 and 160,256.50

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Solution

The fourth proportional to 279,511.54, 385,728.69 and 160,256.50 is: 221,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,511.54 : 385,728.69 = 160,256.50 : x
  2. Step 2: Convert to fraction form
    279,511.54/385,728.69 = 160,256.50/x
  3. Step 3: Cross multiply
    279,511.54x = 385,728.69 × 160,256.50
  4. Step 4: Simplify right side
    279,511.54x = 61,815,529,808.99
  5. Step 5: Solve for x
    x = 61,815,529,808.99/279,511.54
  6. Step 6: Final answer
    x = 221,155.56

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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.