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Finding the Fourth Proportional to 382,077.64, 527,265.66 and 210,007

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Solution

The fourth proportional to 382,077.64, 527,265.66 and 210,007 is: 289,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,077.64 : 527,265.66 = 210,007 : x
  2. Step 2: Convert to fraction form
    382,077.64/527,265.66 = 210,007/x
  3. Step 3: Cross multiply
    382,077.64x = 527,265.66 × 210,007
  4. Step 4: Simplify right side
    382,077.64x = 110,729,479,459.62
  5. Step 5: Solve for x
    x = 110,729,479,459.62/382,077.64
  6. Step 6: Final answer
    x = 289,808.84

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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.