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Finding the Fourth Proportional to 375,621.72, 518,372.10 and 214,478.16

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Solution

The fourth proportional to 375,621.72, 518,372.10 and 214,478.16 is: 295,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,621.72 : 518,372.10 = 214,478.16 : x
  2. Step 2: Convert to fraction form
    375,621.72/518,372.10 = 214,478.16/x
  3. Step 3: Cross multiply
    375,621.72x = 518,372.10 × 214,478.16
  4. Step 4: Simplify right side
    375,621.72x = 111,179,494,203.34
  5. Step 5: Solve for x
    x = 111,179,494,203.34/375,621.72
  6. Step 6: Final answer
    x = 295,987.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.