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Finding the Fourth Proportional to 320,264.64, 479,697.12 and 162,221.76

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Solution

The fourth proportional to 320,264.64, 479,697.12 and 162,221.76 is: 242,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,264.64 : 479,697.12 = 162,221.76 : x
  2. Step 2: Convert to fraction form
    320,264.64/479,697.12 = 162,221.76/x
  3. Step 3: Cross multiply
    320,264.64x = 479,697.12 × 162,221.76
  4. Step 4: Simplify right side
    320,264.64x = 77,817,311,073.33
  5. Step 5: Solve for x
    x = 77,817,311,073.33/320,264.64
  6. Step 6: Final answer
    x = 242,978.15

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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.