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Finding the Fourth Proportional to 276,068.67, 380,978.68 and 155,203.20

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Solution

The fourth proportional to 276,068.67, 380,978.68 and 155,203.20 is: 214,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,068.67 : 380,978.68 = 155,203.20 : x
  2. Step 2: Convert to fraction form
    276,068.67/380,978.68 = 155,203.20/x
  3. Step 3: Cross multiply
    276,068.67x = 380,978.68 × 155,203.20
  4. Step 4: Simplify right side
    276,068.67x = 59,129,110,267.78
  5. Step 5: Solve for x
    x = 59,129,110,267.78/276,068.67
  6. Step 6: Final answer
    x = 214,182.62

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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.