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Finding the Fourth Proportional to 280,493.52, 387,080.71 and 165,813.49

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Solution

The fourth proportional to 280,493.52, 387,080.71 and 165,813.49 is: 228,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,493.52 : 387,080.71 = 165,813.49 : x
  2. Step 2: Convert to fraction form
    280,493.52/387,080.71 = 165,813.49/x
  3. Step 3: Cross multiply
    280,493.52x = 387,080.71 × 165,813.49
  4. Step 4: Simplify right side
    280,493.52x = 64,183,203,436.78
  5. Step 5: Solve for x
    x = 64,183,203,436.78/280,493.52
  6. Step 6: Final answer
    x = 228,822.41

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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.