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Finding the Fourth Proportional to 320,000.40, 479,563.20 and 213,080.40

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Solution

The fourth proportional to 320,000.40, 479,563.20 and 213,080.40 is: 319,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,000.40 : 479,563.20 = 213,080.40 : x
  2. Step 2: Convert to fraction form
    320,000.40/479,563.20 = 213,080.40/x
  3. Step 3: Cross multiply
    320,000.40x = 479,563.20 × 213,080.40
  4. Step 4: Simplify right side
    320,000.40x = 102,185,518,481.28
  5. Step 5: Solve for x
    x = 102,185,518,481.28/320,000.40
  6. Step 6: Final answer
    x = 319,329.35

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1.5x scale

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.