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Finding the Fourth Proportional to 509,436.30, 703,029.37 and 280,014.80

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Solution

The fourth proportional to 509,436.30, 703,029.37 and 280,014.80 is: 386,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,436.30 : 703,029.37 = 280,014.80 : x
  2. Step 2: Convert to fraction form
    509,436.30/703,029.37 = 280,014.80/x
  3. Step 3: Cross multiply
    509,436.30x = 703,029.37 × 280,014.80
  4. Step 4: Simplify right side
    509,436.30x = 196,858,624,219.49
  5. Step 5: Solve for x
    x = 196,858,624,219.49/509,436.30
  6. Step 6: Final answer
    x = 386,424.42

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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.