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Finding the Fourth Proportional to 509,738.43, 703,483.82 and 280,336.11

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Solution

The fourth proportional to 509,738.43, 703,483.82 and 280,336.11 is: 386,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,738.43 : 703,483.82 = 280,336.11 : x
  2. Step 2: Convert to fraction form
    509,738.43/703,483.82 = 280,336.11/x
  3. Step 3: Cross multiply
    509,738.43x = 703,483.82 × 280,336.11
  4. Step 4: Simplify right side
    509,738.43x = 197,211,914,558.26
  5. Step 5: Solve for x
    x = 197,211,914,558.26/509,738.43
  6. Step 6: Final answer
    x = 386,888.45

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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.