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Finding the Fourth Proportional to 280,102.94, 386,546.68 and 152,778.56

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Solution

The fourth proportional to 280,102.94, 386,546.68 and 152,778.56 is: 210,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,102.94 : 386,546.68 = 152,778.56 : x
  2. Step 2: Convert to fraction form
    280,102.94/386,546.68 = 152,778.56/x
  3. Step 3: Cross multiply
    280,102.94x = 386,546.68 × 152,778.56
  4. Step 4: Simplify right side
    280,102.94x = 59,056,045,143.18
  5. Step 5: Solve for x
    x = 59,056,045,143.18/280,102.94
  6. Step 6: Final answer
    x = 210,836.93

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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.