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Finding the Fourth Proportional to 509,629.75, 703,289.51 and 280,190.94

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Solution

The fourth proportional to 509,629.75, 703,289.51 and 280,190.94 is: 386,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,629.75 : 703,289.51 = 280,190.94 : x
  2. Step 2: Convert to fraction form
    509,629.75/703,289.51 = 280,190.94/x
  3. Step 3: Cross multiply
    509,629.75x = 703,289.51 × 280,190.94
  4. Step 4: Simplify right side
    509,629.75x = 197,055,348,899.04
  5. Step 5: Solve for x
    x = 197,055,348,899.04/509,629.75
  6. Step 6: Final answer
    x = 386,663.75

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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.