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Finding the Fourth Proportional to 280,498.21, 387,115.54 and 167,320.96

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Solution

The fourth proportional to 280,498.21, 387,115.54 and 167,320.96 is: 230,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,498.21 : 387,115.54 = 167,320.96 : x
  2. Step 2: Convert to fraction form
    280,498.21/387,115.54 = 167,320.96/x
  3. Step 3: Cross multiply
    280,498.21x = 387,115.54 × 167,320.96
  4. Step 4: Simplify right side
    280,498.21x = 64,772,542,397.63
  5. Step 5: Solve for x
    x = 64,772,542,397.63/280,498.21
  6. Step 6: Final answer
    x = 230,919.63

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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.