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Finding the Fourth Proportional to 320,468.24, 480,665.64 and 83,833.76

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Solution

The fourth proportional to 320,468.24, 480,665.64 and 83,833.76 is: 125,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,468.24 : 480,665.64 = 83,833.76 : x
  2. Step 2: Convert to fraction form
    320,468.24/480,665.64 = 83,833.76/x
  3. Step 3: Cross multiply
    320,468.24x = 480,665.64 × 83,833.76
  4. Step 4: Simplify right side
    320,468.24x = 40,296,007,904.01
  5. Step 5: Solve for x
    x = 40,296,007,904.01/320,468.24
  6. Step 6: Final answer
    x = 125,741.03

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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.