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Finding the Fourth Proportional to 280,774.44, 387,493.70 and 159,889.32

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Solution

The fourth proportional to 280,774.44, 387,493.70 and 159,889.32 is: 220,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,774.44 : 387,493.70 = 159,889.32 : x
  2. Step 2: Convert to fraction form
    280,774.44/387,493.70 = 159,889.32/x
  3. Step 3: Cross multiply
    280,774.44x = 387,493.70 × 159,889.32
  4. Step 4: Simplify right side
    280,774.44x = 61,956,104,197.28
  5. Step 5: Solve for x
    x = 61,956,104,197.28/280,774.44
  6. Step 6: Final answer
    x = 220,661.48

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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.