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Finding the Fourth Proportional to 320,439.80, 480,083.70 and 153,860.60

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Solution

The fourth proportional to 320,439.80, 480,083.70 and 153,860.60 is: 230,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,439.80 : 480,083.70 = 153,860.60 : x
  2. Step 2: Convert to fraction form
    320,439.80/480,083.70 = 153,860.60/x
  3. Step 3: Cross multiply
    320,439.80x = 480,083.70 × 153,860.60
  4. Step 4: Simplify right side
    320,439.80x = 73,865,966,132.22
  5. Step 5: Solve for x
    x = 73,865,966,132.22/320,439.80
  6. Step 6: Final answer
    x = 230,514.33

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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.