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Finding the Fourth Proportional to 518,020.61, 777,142.09 and 293,488.61

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Solution

The fourth proportional to 518,020.61, 777,142.09 and 293,488.61 is: 440,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,020.61 : 777,142.09 = 293,488.61 : x
  2. Step 2: Convert to fraction form
    518,020.61/777,142.09 = 293,488.61/x
  3. Step 3: Cross multiply
    518,020.61x = 777,142.09 × 293,488.61
  4. Step 4: Simplify right side
    518,020.61x = 228,082,351,766.60
  5. Step 5: Solve for x
    x = 228,082,351,766.60/518,020.61
  6. Step 6: Final answer
    x = 440,295.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.