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Finding the Fourth Proportional to 320,059.77, 480,218.75 and 142,445.29

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Solution

The fourth proportional to 320,059.77, 480,218.75 and 142,445.29 is: 213,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,059.77 : 480,218.75 = 142,445.29 : x
  2. Step 2: Convert to fraction form
    320,059.77/480,218.75 = 142,445.29/x
  3. Step 3: Cross multiply
    320,059.77x = 480,218.75 × 142,445.29
  4. Step 4: Simplify right side
    320,059.77x = 68,404,899,107.19
  5. Step 5: Solve for x
    x = 68,404,899,107.19/320,059.77
  6. Step 6: Final answer
    x = 213,725.39

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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.