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Finding the Fourth Proportional to 320,524.96, 480,656.22 and 142,910.50

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Solution

The fourth proportional to 320,524.96, 480,656.22 and 142,910.50 is: 214,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,524.96 : 480,656.22 = 142,910.50 : x
  2. Step 2: Convert to fraction form
    320,524.96/480,656.22 = 142,910.50/x
  3. Step 3: Cross multiply
    320,524.96x = 480,656.22 × 142,910.50
  4. Step 4: Simplify right side
    320,524.96x = 68,690,820,728.31
  5. Step 5: Solve for x
    x = 68,690,820,728.31/320,524.96
  6. Step 6: Final answer
    x = 214,307.24

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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.