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Finding the Fourth Proportional to 280,052.50, 386,475.03 and 152,728.09

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Solution

The fourth proportional to 280,052.50, 386,475.03 and 152,728.09 is: 210,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,052.50 : 386,475.03 = 152,728.09 : x
  2. Step 2: Convert to fraction form
    280,052.50/386,475.03 = 152,728.09/x
  3. Step 3: Cross multiply
    280,052.50x = 386,475.03 × 152,728.09
  4. Step 4: Simplify right side
    280,052.50x = 59,025,593,164.59
  5. Step 5: Solve for x
    x = 59,025,593,164.59/280,052.50
  6. Step 6: Final answer
    x = 210,766.17

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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.