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Finding the Fourth Proportional to 280,059.57, 386,415.77 and 159,191.34

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Solution

The fourth proportional to 280,059.57, 386,415.77 and 159,191.34 is: 219,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,059.57 : 386,415.77 = 159,191.34 : x
  2. Step 2: Convert to fraction form
    280,059.57/386,415.77 = 159,191.34/x
  3. Step 3: Cross multiply
    280,059.57x = 386,415.77 × 159,191.34
  4. Step 4: Simplify right side
    280,059.57x = 61,514,043,427.48
  5. Step 5: Solve for x
    x = 61,514,043,427.48/280,059.57
  6. Step 6: Final answer
    x = 219,646.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.