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Finding the Fourth Proportional to 320,064.96, 480,097.60 and 83,407.04

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Solution

The fourth proportional to 320,064.96, 480,097.60 and 83,407.04 is: 125,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,064.96 : 480,097.60 = 83,407.04 : x
  2. Step 2: Convert to fraction form
    320,064.96/480,097.60 = 83,407.04/x
  3. Step 3: Cross multiply
    320,064.96x = 480,097.60 × 83,407.04
  4. Step 4: Simplify right side
    320,064.96x = 40,043,519,727.10
  5. Step 5: Solve for x
    x = 40,043,519,727.10/320,064.96
  6. Step 6: Final answer
    x = 125,110.60

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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.