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Finding the Fourth Proportional to 503,045.54, 694,199.54 and 285,295.66

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Solution

The fourth proportional to 503,045.54, 694,199.54 and 285,295.66 is: 393,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,045.54 : 694,199.54 = 285,295.66 : x
  2. Step 2: Convert to fraction form
    503,045.54/694,199.54 = 285,295.66/x
  3. Step 3: Cross multiply
    503,045.54x = 694,199.54 × 285,295.66
  4. Step 4: Simplify right side
    503,045.54x = 198,052,115,936.00
  5. Step 5: Solve for x
    x = 198,052,115,936.00/503,045.54
  6. Step 6: Final answer
    x = 393,706.14

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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.