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Finding the Fourth Proportional to 509,729, 703,426.84 and 283,374.50

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Solution

The fourth proportional to 509,729, 703,426.84 and 283,374.50 is: 391,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,729 : 703,426.84 = 283,374.50 : x
  2. Step 2: Convert to fraction form
    509,729/703,426.84 = 283,374.50/x
  3. Step 3: Cross multiply
    509,729x = 703,426.84 × 283,374.50
  4. Step 4: Simplify right side
    509,729x = 199,333,229,071.58
  5. Step 5: Solve for x
    x = 199,333,229,071.58/509,729
  6. Step 6: Final answer
    x = 391,057.27

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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.