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Finding the Fourth Proportional to 509,685.44, 703,383.98 and 280,260.20

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Solution

The fourth proportional to 509,685.44, 703,383.98 and 280,260.20 is: 386,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,685.44 : 703,383.98 = 280,260.20 : x
  2. Step 2: Convert to fraction form
    509,685.44/703,383.98 = 280,260.20/x
  3. Step 3: Cross multiply
    509,685.44x = 703,383.98 × 280,260.20
  4. Step 4: Simplify right side
    509,685.44x = 197,130,536,056.99
  5. Step 5: Solve for x
    x = 197,130,536,056.99/509,685.44
  6. Step 6: Final answer
    x = 386,769.02

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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.