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Finding the Fourth Proportional to 375,552, 518,261.76 and 216,576

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Solution

The fourth proportional to 375,552, 518,261.76 and 216,576 is: 298,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,552 : 518,261.76 = 216,576 : x
  2. Step 2: Convert to fraction form
    375,552/518,261.76 = 216,576/x
  3. Step 3: Cross multiply
    375,552x = 518,261.76 × 216,576
  4. Step 4: Simplify right side
    375,552x = 112,243,058,933.76
  5. Step 5: Solve for x
    x = 112,243,058,933.76/375,552
  6. Step 6: Final answer
    x = 298,874.88

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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.