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Finding the Fourth Proportional to 522,766.72, 721,408.32 and 293,328.16

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Solution

The fourth proportional to 522,766.72, 721,408.32 and 293,328.16 is: 404,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,766.72 : 721,408.32 = 293,328.16 : x
  2. Step 2: Convert to fraction form
    522,766.72/721,408.32 = 293,328.16/x
  3. Step 3: Cross multiply
    522,766.72x = 721,408.32 × 293,328.16
  4. Step 4: Simplify right side
    522,766.72x = 211,609,375,114.29
  5. Step 5: Solve for x
    x = 211,609,375,114.29/522,766.72
  6. Step 6: Final answer
    x = 404,787.39

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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.