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Finding the Fourth Proportional to 509,609.18, 703,242.73 and 280,164.80

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Solution

The fourth proportional to 509,609.18, 703,242.73 and 280,164.80 is: 386,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,609.18 : 703,242.73 = 280,164.80 : x
  2. Step 2: Convert to fraction form
    509,609.18/703,242.73 = 280,164.80/x
  3. Step 3: Cross multiply
    509,609.18x = 703,242.73 × 280,164.80
  4. Step 4: Simplify right side
    509,609.18x = 197,023,858,273.06
  5. Step 5: Solve for x
    x = 197,023,858,273.06/509,609.18
  6. Step 6: Final answer
    x = 386,617.56

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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.