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Finding the Fourth Proportional to 509,744.72, 703,465.68 and 280,319.44

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Solution

The fourth proportional to 509,744.72, 703,465.68 and 280,319.44 is: 386,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,744.72 : 703,465.68 = 280,319.44 : x
  2. Step 2: Convert to fraction form
    509,744.72/703,465.68 = 280,319.44/x
  3. Step 3: Cross multiply
    509,744.72x = 703,465.68 × 280,319.44
  4. Step 4: Simplify right side
    509,744.72x = 197,195,105,476.82
  5. Step 5: Solve for x
    x = 197,195,105,476.82/509,744.72
  6. Step 6: Final answer
    x = 386,850.71

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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.