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Finding the Fourth Proportional to 375,738, 518,554.30 and 214,617.12

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Solution

The fourth proportional to 375,738, 518,554.30 and 214,617.12 is: 296,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,738 : 518,554.30 = 214,617.12 : x
  2. Step 2: Convert to fraction form
    375,738/518,554.30 = 214,617.12/x
  3. Step 3: Cross multiply
    375,738x = 518,554.30 × 214,617.12
  4. Step 4: Simplify right side
    375,738x = 111,290,630,429.62
  5. Step 5: Solve for x
    x = 111,290,630,429.62/375,738
  6. Step 6: Final answer
    x = 296,192.11

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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.