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Finding the Fourth Proportional to 509,716.98, 703,424.66 and 280,262.39

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Solution

The fourth proportional to 509,716.98, 703,424.66 and 280,262.39 is: 386,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,716.98 : 703,424.66 = 280,262.39 : x
  2. Step 2: Convert to fraction form
    509,716.98/703,424.66 = 280,262.39/x
  3. Step 3: Cross multiply
    509,716.98x = 703,424.66 × 280,262.39
  4. Step 4: Simplify right side
    509,716.98x = 197,143,471,478.10
  5. Step 5: Solve for x
    x = 197,143,471,478.10/509,716.98
  6. Step 6: Final answer
    x = 386,770.46

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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.