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Finding the Fourth Proportional to 320,336.30, 480,509.10 and 83,679

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Solution

The fourth proportional to 320,336.30, 480,509.10 and 83,679 is: 125,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,336.30 : 480,509.10 = 83,679 : x
  2. Step 2: Convert to fraction form
    320,336.30/480,509.10 = 83,679/x
  3. Step 3: Cross multiply
    320,336.30x = 480,509.10 × 83,679
  4. Step 4: Simplify right side
    320,336.30x = 40,208,520,978.90
  5. Step 5: Solve for x
    x = 40,208,520,978.90/320,336.30
  6. Step 6: Final answer
    x = 125,519.72

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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.