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Finding the Fourth Proportional to 509,951.89, 703,734.32 and 283,597.39

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Solution

The fourth proportional to 509,951.89, 703,734.32 and 283,597.39 is: 391,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,951.89 : 703,734.32 = 283,597.39 : x
  2. Step 2: Convert to fraction form
    509,951.89/703,734.32 = 283,597.39/x
  3. Step 3: Cross multiply
    509,951.89x = 703,734.32 × 283,597.39
  4. Step 4: Simplify right side
    509,951.89x = 199,577,211,468.77
  5. Step 5: Solve for x
    x = 199,577,211,468.77/509,951.89
  6. Step 6: Final answer
    x = 391,364.79

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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.