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Finding the Fourth Proportional to 315,138.88, 472,636.32 and 90,497.54

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Solution

The fourth proportional to 315,138.88, 472,636.32 and 90,497.54 is: 135,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,138.88 : 472,636.32 = 90,497.54 : x
  2. Step 2: Convert to fraction form
    315,138.88/472,636.32 = 90,497.54/x
  3. Step 3: Cross multiply
    315,138.88x = 472,636.32 × 90,497.54
  4. Step 4: Simplify right side
    315,138.88x = 42,772,424,274.65
  5. Step 5: Solve for x
    x = 42,772,424,274.65/315,138.88
  6. Step 6: Final answer
    x = 135,725.63

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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.