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Finding the Fourth Proportional to 315,136.23, 472,704.08 and 115,472.23

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Solution

The fourth proportional to 315,136.23, 472,704.08 and 115,472.23 is: 173,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,136.23 : 472,704.08 = 115,472.23 : x
  2. Step 2: Convert to fraction form
    315,136.23/472,704.08 = 115,472.23/x
  3. Step 3: Cross multiply
    315,136.23x = 472,704.08 × 115,472.23
  4. Step 4: Simplify right side
    315,136.23x = 54,584,193,670.34
  5. Step 5: Solve for x
    x = 54,584,193,670.34/315,136.23
  6. Step 6: Final answer
    x = 173,208.25

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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.