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Finding the Fourth Proportional to 502,758.83, 693,804.29 and 285,008.59

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Solution

The fourth proportional to 502,758.83, 693,804.29 and 285,008.59 is: 393,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,758.83 : 693,804.29 = 285,008.59 : x
  2. Step 2: Convert to fraction form
    502,758.83/693,804.29 = 285,008.59/x
  3. Step 3: Cross multiply
    502,758.83x = 693,804.29 × 285,008.59
  4. Step 4: Simplify right side
    502,758.83x = 197,740,181,871.06
  5. Step 5: Solve for x
    x = 197,740,181,871.06/502,758.83
  6. Step 6: Final answer
    x = 393,310.21

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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.