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Finding the Fourth Proportional to 286,783.32, 395,760.06 and 159,459

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Solution

The fourth proportional to 286,783.32, 395,760.06 and 159,459 is: 220,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,783.32 : 395,760.06 = 159,459 : x
  2. Step 2: Convert to fraction form
    286,783.32/395,760.06 = 159,459/x
  3. Step 3: Cross multiply
    286,783.32x = 395,760.06 × 159,459
  4. Step 4: Simplify right side
    286,783.32x = 63,107,503,407.54
  5. Step 5: Solve for x
    x = 63,107,503,407.54/286,783.32
  6. Step 6: Final answer
    x = 220,052.91

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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.