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Finding the Fourth Proportional to 509,844.53, 703,570.56 and 280,401.57

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Solution

The fourth proportional to 509,844.53, 703,570.56 and 280,401.57 is: 386,945.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,844.53 : 703,570.56 = 280,401.57 : x
  2. Step 2: Convert to fraction form
    509,844.53/703,570.56 = 280,401.57/x
  3. Step 3: Cross multiply
    509,844.53x = 703,570.56 × 280,401.57
  4. Step 4: Simplify right side
    509,844.53x = 197,282,289,629.78
  5. Step 5: Solve for x
    x = 197,282,289,629.78/509,844.53
  6. Step 6: Final answer
    x = 386,945.98

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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.