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Finding the Fourth Proportional to 509,733, 703,432.35 and 283,378.50

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Solution

The fourth proportional to 509,733, 703,432.35 and 283,378.50 is: 391,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,733 : 703,432.35 = 283,378.50 : x
  2. Step 2: Convert to fraction form
    509,733/703,432.35 = 283,378.50/x
  3. Step 3: Cross multiply
    509,733x = 703,432.35 × 283,378.50
  4. Step 4: Simplify right side
    509,733x = 199,337,604,194.48
  5. Step 5: Solve for x
    x = 199,337,604,194.48/509,733
  6. Step 6: Final answer
    x = 391,062.78

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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.