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Finding the Fourth Proportional to 509,776.16, 703,528.08 and 305,836

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Solution

The fourth proportional to 509,776.16, 703,528.08 and 305,836 is: 422,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,776.16 : 703,528.08 = 305,836 : x
  2. Step 2: Convert to fraction form
    509,776.16/703,528.08 = 305,836/x
  3. Step 3: Cross multiply
    509,776.16x = 703,528.08 × 305,836
  4. Step 4: Simplify right side
    509,776.16x = 215,164,213,874.88
  5. Step 5: Solve for x
    x = 215,164,213,874.88/509,776.16
  6. Step 6: Final answer
    x = 422,075.87

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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.