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Finding the Fourth Proportional to 280,496.25, 387,112.84 and 167,319

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Solution

The fourth proportional to 280,496.25, 387,112.84 and 167,319 is: 230,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,496.25 : 387,112.84 = 167,319 : x
  2. Step 2: Convert to fraction form
    280,496.25/387,112.84 = 167,319/x
  3. Step 3: Cross multiply
    280,496.25x = 387,112.84 × 167,319
  4. Step 4: Simplify right side
    280,496.25x = 64,771,332,857.66
  5. Step 5: Solve for x
    x = 64,771,332,857.66/280,496.25
  6. Step 6: Final answer
    x = 230,916.93

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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.