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Finding the Fourth Proportional to 509,604.19, 703,261.65 and 280,171.42

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Solution

The fourth proportional to 509,604.19, 703,261.65 and 280,171.42 is: 386,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,604.19 : 703,261.65 = 280,171.42 : x
  2. Step 2: Convert to fraction form
    509,604.19/703,261.65 = 280,171.42/x
  3. Step 3: Cross multiply
    509,604.19x = 703,261.65 × 280,171.42
  4. Step 4: Simplify right side
    509,604.19x = 197,033,815,112.04
  5. Step 5: Solve for x
    x = 197,033,815,112.04/509,604.19
  6. Step 6: Final answer
    x = 386,640.89

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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.