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Finding the Fourth Proportional to 382,076.64, 527,264.28 and 210,006

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Solution

The fourth proportional to 382,076.64, 527,264.28 and 210,006 is: 289,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,076.64 : 527,264.28 = 210,006 : x
  2. Step 2: Convert to fraction form
    382,076.64/527,264.28 = 210,006/x
  3. Step 3: Cross multiply
    382,076.64x = 527,264.28 × 210,006
  4. Step 4: Simplify right side
    382,076.64x = 110,728,662,385.68
  5. Step 5: Solve for x
    x = 110,728,662,385.68/382,076.64
  6. Step 6: Final answer
    x = 289,807.46

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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.