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Finding the Fourth Proportional to 280,013, 386,403.90 and 159,138.32

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Solution

The fourth proportional to 280,013, 386,403.90 and 159,138.32 is: 219,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,013 : 386,403.90 = 159,138.32 : x
  2. Step 2: Convert to fraction form
    280,013/386,403.90 = 159,138.32/x
  3. Step 3: Cross multiply
    280,013x = 386,403.90 × 159,138.32
  4. Step 4: Simplify right side
    280,013x = 61,491,667,487.45
  5. Step 5: Solve for x
    x = 61,491,667,487.45/280,013
  6. Step 6: Final answer
    x = 219,602.90

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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.