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Finding the Fourth Proportional to 320,478.24, 480,680.64 and 83,843.76

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Solution

The fourth proportional to 320,478.24, 480,680.64 and 83,843.76 is: 125,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,478.24 : 480,680.64 = 83,843.76 : x
  2. Step 2: Convert to fraction form
    320,478.24/480,680.64 = 83,843.76/x
  3. Step 3: Cross multiply
    320,478.24x = 480,680.64 × 83,843.76
  4. Step 4: Simplify right side
    320,478.24x = 40,302,072,216.81
  5. Step 5: Solve for x
    x = 40,302,072,216.81/320,478.24
  6. Step 6: Final answer
    x = 125,756.03

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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.