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Finding the Fourth Proportional to 315,136.35, 472,310.33 and 157,408.83

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Solution

The fourth proportional to 315,136.35, 472,310.33 and 157,408.83 is: 235,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,136.35 : 472,310.33 = 157,408.83 : x
  2. Step 2: Convert to fraction form
    315,136.35/472,310.33 = 157,408.83/x
  3. Step 3: Cross multiply
    315,136.35x = 472,310.33 × 157,408.83
  4. Step 4: Simplify right side
    315,136.35x = 74,345,815,655.17
  5. Step 5: Solve for x
    x = 74,345,815,655.17/315,136.35
  6. Step 6: Final answer
    x = 235,916.34

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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.