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Finding the Fourth Proportional to 382,464.54, 527,801.60 and 212,698.66

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Solution

The fourth proportional to 382,464.54, 527,801.60 and 212,698.66 is: 293,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,464.54 : 527,801.60 = 212,698.66 : x
  2. Step 2: Convert to fraction form
    382,464.54/527,801.60 = 212,698.66/x
  3. Step 3: Cross multiply
    382,464.54x = 527,801.60 × 212,698.66
  4. Step 4: Simplify right side
    382,464.54x = 112,262,693,065.86
  5. Step 5: Solve for x
    x = 112,262,693,065.86/382,464.54
  6. Step 6: Final answer
    x = 293,524.45

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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.