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Finding the Fourth Proportional to 280,059.12, 386,551.44 and 166,860

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Solution

The fourth proportional to 280,059.12, 386,551.44 and 166,860 is: 230,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,059.12 : 386,551.44 = 166,860 : x
  2. Step 2: Convert to fraction form
    280,059.12/386,551.44 = 166,860/x
  3. Step 3: Cross multiply
    280,059.12x = 386,551.44 × 166,860
  4. Step 4: Simplify right side
    280,059.12x = 64,499,973,278.40
  5. Step 5: Solve for x
    x = 64,499,973,278.40/280,059.12
  6. Step 6: Final answer
    x = 230,308.42

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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.