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Finding the Fourth Proportional to 502,780.63, 693,822.81 and 285,009.44

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Solution

The fourth proportional to 502,780.63, 693,822.81 and 285,009.44 is: 393,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,780.63 : 693,822.81 = 285,009.44 : x
  2. Step 2: Convert to fraction form
    502,780.63/693,822.81 = 285,009.44/x
  3. Step 3: Cross multiply
    502,780.63x = 693,822.81 × 285,009.44
  4. Step 4: Simplify right side
    502,780.63x = 197,746,048,137.00
  5. Step 5: Solve for x
    x = 197,746,048,137.00/502,780.63
  6. Step 6: Final answer
    x = 393,304.83

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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.