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Finding the Fourth Proportional to 280,489.73, 387,103.80 and 167,312.48

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Solution

The fourth proportional to 280,489.73, 387,103.80 and 167,312.48 is: 230,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,489.73 : 387,103.80 = 167,312.48 : x
  2. Step 2: Convert to fraction form
    280,489.73/387,103.80 = 167,312.48/x
  3. Step 3: Cross multiply
    280,489.73x = 387,103.80 × 167,312.48
  4. Step 4: Simplify right side
    280,489.73x = 64,767,294,859.91
  5. Step 5: Solve for x
    x = 64,767,294,859.91/280,489.73
  6. Step 6: Final answer
    x = 230,907.91

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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.