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Finding the Fourth Proportional to 315,136.47, 472,704.45 and 115,472.49

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Solution

The fourth proportional to 315,136.47, 472,704.45 and 115,472.49 is: 173,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,136.47 : 472,704.45 = 115,472.49 : x
  2. Step 2: Convert to fraction form
    315,136.47/472,704.45 = 115,472.49/x
  3. Step 3: Cross multiply
    315,136.47x = 472,704.45 × 115,472.49
  4. Step 4: Simplify right side
    315,136.47x = 54,584,359,875.58
  5. Step 5: Solve for x
    x = 54,584,359,875.58/315,136.47
  6. Step 6: Final answer
    x = 173,208.64

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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.