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Finding the Fourth Proportional to 320,221.16, 480,331.12 and 300,735

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Solution

The fourth proportional to 320,221.16, 480,331.12 and 300,735 is: 451,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,221.16 : 480,331.12 = 300,735 : x
  2. Step 2: Convert to fraction form
    320,221.16/480,331.12 = 300,735/x
  3. Step 3: Cross multiply
    320,221.16x = 480,331.12 × 300,735
  4. Step 4: Simplify right side
    320,221.16x = 144,452,379,373.20
  5. Step 5: Solve for x
    x = 144,452,379,373.20/320,221.16
  6. Step 6: Final answer
    x = 451,101.92

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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.