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Finding the Fourth Proportional to 315,392.94, 472,914.39 and 104,916.06

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Solution

The fourth proportional to 315,392.94, 472,914.39 and 104,916.06 is: 157,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,392.94 : 472,914.39 = 104,916.06 : x
  2. Step 2: Convert to fraction form
    315,392.94/472,914.39 = 104,916.06/x
  3. Step 3: Cross multiply
    315,392.94x = 472,914.39 × 104,916.06
  4. Step 4: Simplify right side
    315,392.94x = 49,616,314,516.10
  5. Step 5: Solve for x
    x = 49,616,314,516.10/315,392.94
  6. Step 6: Final answer
    x = 157,315.87

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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.