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Finding the Fourth Proportional to 320,220.96, 480,497.59 and 142,686.68

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Solution

The fourth proportional to 320,220.96, 480,497.59 and 142,686.68 is: 214,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,220.96 : 480,497.59 = 142,686.68 : x
  2. Step 2: Convert to fraction form
    320,220.96/480,497.59 = 142,686.68/x
  3. Step 3: Cross multiply
    320,220.96x = 480,497.59 × 142,686.68
  4. Step 4: Simplify right side
    320,220.96x = 68,560,602,749.18
  5. Step 5: Solve for x
    x = 68,560,602,749.18/320,220.96
  6. Step 6: Final answer
    x = 214,104.05

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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.