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Finding the Fourth Proportional to 375,354.30, 518,038.82 and 214,172.40

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Solution

The fourth proportional to 375,354.30, 518,038.82 and 214,172.40 is: 295,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,354.30 : 518,038.82 = 214,172.40 : x
  2. Step 2: Convert to fraction form
    375,354.30/518,038.82 = 214,172.40/x
  3. Step 3: Cross multiply
    375,354.30x = 518,038.82 × 214,172.40
  4. Step 4: Simplify right side
    375,354.30x = 110,949,613,711.51
  5. Step 5: Solve for x
    x = 110,949,613,711.51/375,354.30
  6. Step 6: Final answer
    x = 295,586.37

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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.