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Finding the Fourth Proportional to 509,731, 703,429.60 and 283,376.50

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Solution

The fourth proportional to 509,731, 703,429.60 and 283,376.50 is: 391,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,731 : 703,429.60 = 283,376.50 : x
  2. Step 2: Convert to fraction form
    509,731/703,429.60 = 283,376.50/x
  3. Step 3: Cross multiply
    509,731x = 703,429.60 × 283,376.50
  4. Step 4: Simplify right side
    509,731x = 199,335,418,044.40
  5. Step 5: Solve for x
    x = 199,335,418,044.40/509,731
  6. Step 6: Final answer
    x = 391,060.03

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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.